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Finding the Third Proportional to 584,425.50 and 791,966.25

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Solution

The third proportional to 584,425.50 and 791,966.25 is: 1,073,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,425.50 : 791,966.25 = 791,966.25 : x
  2. Step 2: Convert to fraction form
    584,425.50/791,966.25 = 791,966.25/x
  3. Step 3: Cross multiply
    584,425.50x = 791,966.25 × 791,966.25
  4. Step 4: Simplify right side
    584,425.50x = 627,210,541,139.06
  5. Step 5: Solve for x
    x = 627,210,541,139.06/584,425.50
  6. Step 6: Final answer
    x = 1,073,208.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.