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Finding the Third Proportional to 294,226,404.75 and 624,317,695.88

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Solution

The third proportional to 294,226,404.75 and 624,317,695.88 is: 1,324,736,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,226,404.75 : 624,317,695.88 = 624,317,695.88 : x
  2. Step 2: Convert to fraction form
    294,226,404.75/624,317,695.88 = 624,317,695.88/x
  3. Step 3: Cross multiply
    294,226,404.75x = 624,317,695.88 × 624,317,695.88
  4. Step 4: Simplify right side
    294,226,404.75x = 389,772,585,382,668,992
  5. Step 5: Solve for x
    x = 389,772,585,382,668,992/294,226,404.75
  6. Step 6: Final answer
    x = 1,324,736,934.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.