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Finding the Third Proportional to 508,844 and 747,706

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Solution

The third proportional to 508,844 and 747,706 is: 1,098,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,844 : 747,706 = 747,706 : x
  2. Step 2: Convert to fraction form
    508,844/747,706 = 747,706/x
  3. Step 3: Cross multiply
    508,844x = 747,706 × 747,706
  4. Step 4: Simplify right side
    508,844x = 559,064,262,436
  5. Step 5: Solve for x
    x = 559,064,262,436/508,844
  6. Step 6: Final answer
    x = 1,098,694.81

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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.