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Finding the Third Proportional to 469,702 and 727,449

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Solution

The third proportional to 469,702 and 727,449 is: 1,126,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,702 : 727,449 = 727,449 : x
  2. Step 2: Convert to fraction form
    469,702/727,449 = 727,449/x
  3. Step 3: Cross multiply
    469,702x = 727,449 × 727,449
  4. Step 4: Simplify right side
    469,702x = 529,182,047,601
  5. Step 5: Solve for x
    x = 529,182,047,601/469,702
  6. Step 6: Final answer
    x = 1,126,633.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.