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Finding the Third Proportional to 396,614.25 and 604,216.13

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Solution

The third proportional to 396,614.25 and 604,216.13 is: 920,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,614.25 : 604,216.13 = 604,216.13 : x
  2. Step 2: Convert to fraction form
    396,614.25/604,216.13 = 604,216.13/x
  3. Step 3: Cross multiply
    396,614.25x = 604,216.13 × 604,216.13
  4. Step 4: Simplify right side
    396,614.25x = 365,077,125,710.02
  5. Step 5: Solve for x
    x = 365,077,125,710.02/396,614.25
  6. Step 6: Final answer
    x = 920,484.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.