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Finding the Third Proportional to 584,571 and 876,937.50

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Solution

The third proportional to 584,571 and 876,937.50 is: 1,315,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,571 : 876,937.50 = 876,937.50 : x
  2. Step 2: Convert to fraction form
    584,571/876,937.50 = 876,937.50/x
  3. Step 3: Cross multiply
    584,571x = 876,937.50 × 876,937.50
  4. Step 4: Simplify right side
    584,571x = 769,019,378,906.25
  5. Step 5: Solve for x
    x = 769,019,378,906.25/584,571
  6. Step 6: Final answer
    x = 1,315,527.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.