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Finding the Third Proportional to 453,757.50 and 635,935.50

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Solution

The third proportional to 453,757.50 and 635,935.50 is: 891,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,757.50 : 635,935.50 = 635,935.50 : x
  2. Step 2: Convert to fraction form
    453,757.50/635,935.50 = 635,935.50/x
  3. Step 3: Cross multiply
    453,757.50x = 635,935.50 × 635,935.50
  4. Step 4: Simplify right side
    453,757.50x = 404,413,960,160.25
  5. Step 5: Solve for x
    x = 404,413,960,160.25/453,757.50
  6. Step 6: Final answer
    x = 891,255.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.