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Finding the Third Proportional to 384,517.13 and 841,402.69

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Solution

The third proportional to 384,517.13 and 841,402.69 is: 1,841,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,517.13 : 841,402.69 = 841,402.69 : x
  2. Step 2: Convert to fraction form
    384,517.13/841,402.69 = 841,402.69/x
  3. Step 3: Cross multiply
    384,517.13x = 841,402.69 × 841,402.69
  4. Step 4: Simplify right side
    384,517.13x = 707,958,482,532.22
  5. Step 5: Solve for x
    x = 707,958,482,532.22/384,517.13
  6. Step 6: Final answer
    x = 1,841,162.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.