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Finding the Third Proportional to 551,215.13 and 843,232.78

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Solution

The third proportional to 551,215.13 and 843,232.78 is: 1,289,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,215.13 : 843,232.78 = 843,232.78 : x
  2. Step 2: Convert to fraction form
    551,215.13/843,232.78 = 843,232.78/x
  3. Step 3: Cross multiply
    551,215.13x = 843,232.78 × 843,232.78
  4. Step 4: Simplify right side
    551,215.13x = 711,041,523,374.61
  5. Step 5: Solve for x
    x = 711,041,523,374.61/551,215.13
  6. Step 6: Final answer
    x = 1,289,952.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.