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Finding the Third Proportional to 412,893 and 631,681

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Solution

The third proportional to 412,893 and 631,681 is: 966,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,893 : 631,681 = 631,681 : x
  2. Step 2: Convert to fraction form
    412,893/631,681 = 631,681/x
  3. Step 3: Cross multiply
    412,893x = 631,681 × 631,681
  4. Step 4: Simplify right side
    412,893x = 399,020,885,761
  5. Step 5: Solve for x
    x = 399,020,885,761/412,893
  6. Step 6: Final answer
    x = 966,402.64

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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.