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Finding the Third Proportional to 406,392.75 and 632,854.13

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Solution

The third proportional to 406,392.75 and 632,854.13 is: 985,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,392.75 : 632,854.13 = 632,854.13 : x
  2. Step 2: Convert to fraction form
    406,392.75/632,854.13 = 632,854.13/x
  3. Step 3: Cross multiply
    406,392.75x = 632,854.13 × 632,854.13
  4. Step 4: Simplify right side
    406,392.75x = 400,504,343,529.52
  5. Step 5: Solve for x
    x = 400,504,343,529.52/406,392.75
  6. Step 6: Final answer
    x = 985,510.55

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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.