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Finding the Third Proportional to 360,589.50 and 769,446

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Solution

The third proportional to 360,589.50 and 769,446 is: 1,641,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,589.50 : 769,446 = 769,446 : x
  2. Step 2: Convert to fraction form
    360,589.50/769,446 = 769,446/x
  3. Step 3: Cross multiply
    360,589.50x = 769,446 × 769,446
  4. Step 4: Simplify right side
    360,589.50x = 592,047,146,916
  5. Step 5: Solve for x
    x = 592,047,146,916/360,589.50
  6. Step 6: Final answer
    x = 1,641,886.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.