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Finding the Third Proportional to 498,235 and 730,743

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Solution

The third proportional to 498,235 and 730,743 is: 1,071,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,235 : 730,743 = 730,743 : x
  2. Step 2: Convert to fraction form
    498,235/730,743 = 730,743/x
  3. Step 3: Cross multiply
    498,235x = 730,743 × 730,743
  4. Step 4: Simplify right side
    498,235x = 533,985,332,049
  5. Step 5: Solve for x
    x = 533,985,332,049/498,235
  6. Step 6: Final answer
    x = 1,071,753.96

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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.