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Finding the Third Proportional to 384,339.75 and 841,078.13

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Solution

The third proportional to 384,339.75 and 841,078.13 is: 1,840,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,339.75 : 841,078.13 = 841,078.13 : x
  2. Step 2: Convert to fraction form
    384,339.75/841,078.13 = 841,078.13/x
  3. Step 3: Cross multiply
    384,339.75x = 841,078.13 × 841,078.13
  4. Step 4: Simplify right side
    384,339.75x = 707,412,412,353.52
  5. Step 5: Solve for x
    x = 707,412,412,353.52/384,339.75
  6. Step 6: Final answer
    x = 1,840,591.33

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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.