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Finding the Third Proportional to 633,754.13 and 863,151.19

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Solution

The third proportional to 633,754.13 and 863,151.19 is: 1,175,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,754.13 : 863,151.19 = 863,151.19 : x
  2. Step 2: Convert to fraction form
    633,754.13/863,151.19 = 863,151.19/x
  3. Step 3: Cross multiply
    633,754.13x = 863,151.19 × 863,151.19
  4. Step 4: Simplify right side
    633,754.13x = 745,029,972,482.66
  5. Step 5: Solve for x
    x = 745,029,972,482.66/633,754.13
  6. Step 6: Final answer
    x = 1,175,582.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.