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Finding the Third Proportional to 457,533 and 660,047

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Solution

The third proportional to 457,533 and 660,047 is: 952,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,533 : 660,047 = 660,047 : x
  2. Step 2: Convert to fraction form
    457,533/660,047 = 660,047/x
  3. Step 3: Cross multiply
    457,533x = 660,047 × 660,047
  4. Step 4: Simplify right side
    457,533x = 435,662,042,209
  5. Step 5: Solve for x
    x = 435,662,042,209/457,533
  6. Step 6: Final answer
    x = 952,198.08

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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.