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Finding the Third Proportional to 316,981 and 747,506

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Solution

The third proportional to 316,981 and 747,506 is: 1,762,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,981 : 747,506 = 747,506 : x
  2. Step 2: Convert to fraction form
    316,981/747,506 = 747,506/x
  3. Step 3: Cross multiply
    316,981x = 747,506 × 747,506
  4. Step 4: Simplify right side
    316,981x = 558,765,220,036
  5. Step 5: Solve for x
    x = 558,765,220,036/316,981
  6. Step 6: Final answer
    x = 1,762,771.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.