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Finding the Third Proportional to 399,156.19 and 619,233.19

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Solution

The third proportional to 399,156.19 and 619,233.19 is: 960,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,156.19 : 619,233.19 = 619,233.19 : x
  2. Step 2: Convert to fraction form
    399,156.19/619,233.19 = 619,233.19/x
  3. Step 3: Cross multiply
    399,156.19x = 619,233.19 × 619,233.19
  4. Step 4: Simplify right side
    399,156.19x = 383,449,740,501.41
  5. Step 5: Solve for x
    x = 383,449,740,501.41/399,156.19
  6. Step 6: Final answer
    x = 960,650.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.