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Finding the Third Proportional to 457,563 and 695,674

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Solution

The third proportional to 457,563 and 695,674 is: 1,057,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,563 : 695,674 = 695,674 : x
  2. Step 2: Convert to fraction form
    457,563/695,674 = 695,674/x
  3. Step 3: Cross multiply
    457,563x = 695,674 × 695,674
  4. Step 4: Simplify right side
    457,563x = 483,962,314,276
  5. Step 5: Solve for x
    x = 483,962,314,276/457,563
  6. Step 6: Final answer
    x = 1,057,695.47

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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.