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Finding the Third Proportional to 498,233 and 730,740

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Solution

The third proportional to 498,233 and 730,740 is: 1,071,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,233 : 730,740 = 730,740 : x
  2. Step 2: Convert to fraction form
    498,233/730,740 = 730,740/x
  3. Step 3: Cross multiply
    498,233x = 730,740 × 730,740
  4. Step 4: Simplify right side
    498,233x = 533,980,947,600
  5. Step 5: Solve for x
    x = 533,980,947,600/498,233
  6. Step 6: Final answer
    x = 1,071,749.46

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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.