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Finding the Third Proportional to 406,423.13 and 632,896.88

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Solution

The third proportional to 406,423.13 and 632,896.88 is: 985,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,423.13 : 632,896.88 = 632,896.88 : x
  2. Step 2: Convert to fraction form
    406,423.13/632,896.88 = 632,896.88/x
  3. Step 3: Cross multiply
    406,423.13x = 632,896.88 × 632,896.88
  4. Step 4: Simplify right side
    406,423.13x = 400,558,454,384.77
  5. Step 5: Solve for x
    x = 400,558,454,384.77/406,423.13
  6. Step 6: Final answer
    x = 985,570.04

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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.