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Finding the Third Proportional to 457,580 and 695,697

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Solution

The third proportional to 457,580 and 695,697 is: 1,057,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,580 : 695,697 = 695,697 : x
  2. Step 2: Convert to fraction form
    457,580/695,697 = 695,697/x
  3. Step 3: Cross multiply
    457,580x = 695,697 × 695,697
  4. Step 4: Simplify right side
    457,580x = 483,994,315,809
  5. Step 5: Solve for x
    x = 483,994,315,809/457,580
  6. Step 6: Final answer
    x = 1,057,726.12

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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.