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Finding the Third Proportional to 294,550 and 624,154

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Solution

The third proportional to 294,550 and 624,154 is: 1,322,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,550 : 624,154 = 624,154 : x
  2. Step 2: Convert to fraction form
    294,550/624,154 = 624,154/x
  3. Step 3: Cross multiply
    294,550x = 624,154 × 624,154
  4. Step 4: Simplify right side
    294,550x = 389,568,215,716
  5. Step 5: Solve for x
    x = 389,568,215,716/294,550
  6. Step 6: Final answer
    x = 1,322,587.73

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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.