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Finding the Third Proportional to 508,846 and 747,709

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Solution

The third proportional to 508,846 and 747,709 is: 1,098,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,846 : 747,709 = 747,709 : x
  2. Step 2: Convert to fraction form
    508,846/747,709 = 747,709/x
  3. Step 3: Cross multiply
    508,846x = 747,709 × 747,709
  4. Step 4: Simplify right side
    508,846x = 559,068,748,681
  5. Step 5: Solve for x
    x = 559,068,748,681/508,846
  6. Step 6: Final answer
    x = 1,098,699.31

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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.