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Finding the Third Proportional to 457,510 and 660,019

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Solution

The third proportional to 457,510 and 660,019 is: 952,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,510 : 660,019 = 660,019 : x
  2. Step 2: Convert to fraction form
    457,510/660,019 = 660,019/x
  3. Step 3: Cross multiply
    457,510x = 660,019 × 660,019
  4. Step 4: Simplify right side
    457,510x = 435,625,080,361
  5. Step 5: Solve for x
    x = 435,625,080,361/457,510
  6. Step 6: Final answer
    x = 952,165.16

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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.