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Finding the Third Proportional to 498,008 and 747,501

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Solution

The third proportional to 498,008 and 747,501 is: 1,121,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,008 : 747,501 = 747,501 : x
  2. Step 2: Convert to fraction form
    498,008/747,501 = 747,501/x
  3. Step 3: Cross multiply
    498,008x = 747,501 × 747,501
  4. Step 4: Simplify right side
    498,008x = 558,757,745,001
  5. Step 5: Solve for x
    x = 558,757,745,001/498,008
  6. Step 6: Final answer
    x = 1,121,985.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.