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Finding the Third Proportional to 294,764.25 and 631,585.50

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Solution

The third proportional to 294,764.25 and 631,585.50 is: 1,353,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,764.25 : 631,585.50 = 631,585.50 : x
  2. Step 2: Convert to fraction form
    294,764.25/631,585.50 = 631,585.50/x
  3. Step 3: Cross multiply
    294,764.25x = 631,585.50 × 631,585.50
  4. Step 4: Simplify right side
    294,764.25x = 398,900,243,810.25
  5. Step 5: Solve for x
    x = 398,900,243,810.25/294,764.25
  6. Step 6: Final answer
    x = 1,353,285.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.