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Finding the Third Proportional to 433,488.13 and 930,891.38

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Solution

The third proportional to 433,488.13 and 930,891.38 is: 1,999,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,488.13 : 930,891.38 = 930,891.38 : x
  2. Step 2: Convert to fraction form
    433,488.13/930,891.38 = 930,891.38/x
  3. Step 3: Cross multiply
    433,488.13x = 930,891.38 × 930,891.38
  4. Step 4: Simplify right side
    433,488.13x = 866,558,752,049.39
  5. Step 5: Solve for x
    x = 866,558,752,049.39/433,488.13
  6. Step 6: Final answer
    x = 1,999,036.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.