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Finding the Third Proportional to 508,646 and 747,381

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Solution

The third proportional to 508,646 and 747,381 is: 1,098,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,646 : 747,381 = 747,381 : x
  2. Step 2: Convert to fraction form
    508,646/747,381 = 747,381/x
  3. Step 3: Cross multiply
    508,646x = 747,381 × 747,381
  4. Step 4: Simplify right side
    508,646x = 558,578,359,161
  5. Step 5: Solve for x
    x = 558,578,359,161/508,646
  6. Step 6: Final answer
    x = 1,098,167.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.