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Finding the Third Proportional to 457,520 and 660,034

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Solution

The third proportional to 457,520 and 660,034 is: 952,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,520 : 660,034 = 660,034 : x
  2. Step 2: Convert to fraction form
    457,520/660,034 = 660,034/x
  3. Step 3: Cross multiply
    457,520x = 660,034 × 660,034
  4. Step 4: Simplify right side
    457,520x = 435,644,881,156
  5. Step 5: Solve for x
    x = 435,644,881,156/457,520
  6. Step 6: Final answer
    x = 952,187.62

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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.