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Finding the Third Proportional to 584,428.50 and 791,970.75

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Solution

The third proportional to 584,428.50 and 791,970.75 is: 1,073,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,428.50 : 791,970.75 = 791,970.75 : x
  2. Step 2: Convert to fraction form
    584,428.50/791,970.75 = 791,970.75/x
  3. Step 3: Cross multiply
    584,428.50x = 791,970.75 × 791,970.75
  4. Step 4: Simplify right side
    584,428.50x = 627,217,668,855.56
  5. Step 5: Solve for x
    x = 627,217,668,855.56/584,428.50
  6. Step 6: Final answer
    x = 1,073,215.40

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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.