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Finding the Third Proportional to 406,425.25 and 632,898.38

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Solution

The third proportional to 406,425.25 and 632,898.38 is: 985,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,425.25 : 632,898.38 = 632,898.38 : x
  2. Step 2: Convert to fraction form
    406,425.25/632,898.38 = 632,898.38/x
  3. Step 3: Cross multiply
    406,425.25x = 632,898.38 × 632,898.38
  4. Step 4: Simplify right side
    406,425.25x = 400,560,353,077.64
  5. Step 5: Solve for x
    x = 400,560,353,077.64/406,425.25
  6. Step 6: Final answer
    x = 985,569.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.