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Finding the Third Proportional to 414,375.75 and 619,012.13

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Solution

The third proportional to 414,375.75 and 619,012.13 is: 924,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,375.75 : 619,012.13 = 619,012.13 : x
  2. Step 2: Convert to fraction form
    414,375.75/619,012.13 = 619,012.13/x
  3. Step 3: Cross multiply
    414,375.75x = 619,012.13 × 619,012.13
  4. Step 4: Simplify right side
    414,375.75x = 383,176,010,897.02
  5. Step 5: Solve for x
    x = 383,176,010,897.02/414,375.75
  6. Step 6: Final answer
    x = 924,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.