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Finding the Third Proportional to 280,750 and 608,791

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Solution

The third proportional to 280,750 and 608,791 is: 1,320,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,750 : 608,791 = 608,791 : x
  2. Step 2: Convert to fraction form
    280,750/608,791 = 608,791/x
  3. Step 3: Cross multiply
    280,750x = 608,791 × 608,791
  4. Step 4: Simplify right side
    280,750x = 370,626,481,681
  5. Step 5: Solve for x
    x = 370,626,481,681/280,750
  6. Step 6: Final answer
    x = 1,320,129.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.