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Finding the Third Proportional to 285,184.13 and 619,633.13

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Solution

The third proportional to 285,184.13 and 619,633.13 is: 1,346,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,184.13 : 619,633.13 = 619,633.13 : x
  2. Step 2: Convert to fraction form
    285,184.13/619,633.13 = 619,633.13/x
  3. Step 3: Cross multiply
    285,184.13x = 619,633.13 × 619,633.13
  4. Step 4: Simplify right side
    285,184.13x = 383,945,209,597.27
  5. Step 5: Solve for x
    x = 383,945,209,597.27/285,184.13
  6. Step 6: Final answer
    x = 1,346,306.39

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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.