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Finding the Third Proportional to 457,567 and 695,680

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Solution

The third proportional to 457,567 and 695,680 is: 1,057,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,567 : 695,680 = 695,680 : x
  2. Step 2: Convert to fraction form
    457,567/695,680 = 695,680/x
  3. Step 3: Cross multiply
    457,567x = 695,680 × 695,680
  4. Step 4: Simplify right side
    457,567x = 483,970,662,400
  5. Step 5: Solve for x
    x = 483,970,662,400/457,567
  6. Step 6: Final answer
    x = 1,057,704.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.