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Finding the Third Proportional to 457,532 and 660,046

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Solution

The third proportional to 457,532 and 660,046 is: 952,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,532 : 660,046 = 660,046 : x
  2. Step 2: Convert to fraction form
    457,532/660,046 = 660,046/x
  3. Step 3: Cross multiply
    457,532x = 660,046 × 660,046
  4. Step 4: Simplify right side
    457,532x = 435,660,722,116
  5. Step 5: Solve for x
    x = 435,660,722,116/457,532
  6. Step 6: Final answer
    x = 952,197.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.