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Finding the Third Proportional to 457,578 and 695,695

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Solution

The third proportional to 457,578 and 695,695 is: 1,057,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,578 : 695,695 = 695,695 : x
  2. Step 2: Convert to fraction form
    457,578/695,695 = 695,695/x
  3. Step 3: Cross multiply
    457,578x = 695,695 × 695,695
  4. Step 4: Simplify right side
    457,578x = 483,991,533,025
  5. Step 5: Solve for x
    x = 483,991,533,025/457,578
  6. Step 6: Final answer
    x = 1,057,724.66

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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.