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Finding the Third Proportional to 412,840.13 and 631,567.13

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Solution

The third proportional to 412,840.13 and 631,567.13 is: 966,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,840.13 : 631,567.13 = 631,567.13 : x
  2. Step 2: Convert to fraction form
    412,840.13/631,567.13 = 631,567.13/x
  3. Step 3: Cross multiply
    412,840.13x = 631,567.13 × 631,567.13
  4. Step 4: Simplify right side
    412,840.13x = 398,877,033,380.77
  5. Step 5: Solve for x
    x = 398,877,033,380.77/412,840.13
  6. Step 6: Final answer
    x = 966,177.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.