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Finding the Third Proportional to 457,002 and 695,223

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Solution

The third proportional to 457,002 and 695,223 is: 1,057,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,002 : 695,223 = 695,223 : x
  2. Step 2: Convert to fraction form
    457,002/695,223 = 695,223/x
  3. Step 3: Cross multiply
    457,002x = 695,223 × 695,223
  4. Step 4: Simplify right side
    457,002x = 483,335,019,729
  5. Step 5: Solve for x
    x = 483,335,019,729/457,002
  6. Step 6: Final answer
    x = 1,057,621.24

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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.