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Finding the Third Proportional to 457,579 and 695,698

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Solution

The third proportional to 457,579 and 695,698 is: 1,057,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,579 : 695,698 = 695,698 : x
  2. Step 2: Convert to fraction form
    457,579/695,698 = 695,698/x
  3. Step 3: Cross multiply
    457,579x = 695,698 × 695,698
  4. Step 4: Simplify right side
    457,579x = 483,995,707,204
  5. Step 5: Solve for x
    x = 483,995,707,204/457,579
  6. Step 6: Final answer
    x = 1,057,731.47

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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.