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Finding the Third Proportional to 457,548 and 694,098

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Solution

The third proportional to 457,548 and 694,098 is: 1,052,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,548 : 694,098 = 694,098 : x
  2. Step 2: Convert to fraction form
    457,548/694,098 = 694,098/x
  3. Step 3: Cross multiply
    457,548x = 694,098 × 694,098
  4. Step 4: Simplify right side
    457,548x = 481,772,033,604
  5. Step 5: Solve for x
    x = 481,772,033,604/457,548
  6. Step 6: Final answer
    x = 1,052,943.15

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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.