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Finding the Third Proportional to 388,645.88 and 840,951.75

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Solution

The third proportional to 388,645.88 and 840,951.75 is: 1,819,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,645.88 : 840,951.75 = 840,951.75 : x
  2. Step 2: Convert to fraction form
    388,645.88/840,951.75 = 840,951.75/x
  3. Step 3: Cross multiply
    388,645.88x = 840,951.75 × 840,951.75
  4. Step 4: Simplify right side
    388,645.88x = 707,199,845,828.06
  5. Step 5: Solve for x
    x = 707,199,845,828.06/388,645.88
  6. Step 6: Final answer
    x = 1,819,650.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.