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Finding the Third Proportional to 551,954.25 and 830,665.13

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Solution

The third proportional to 551,954.25 and 830,665.13 is: 1,250,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,954.25 : 830,665.13 = 830,665.13 : x
  2. Step 2: Convert to fraction form
    551,954.25/830,665.13 = 830,665.13/x
  3. Step 3: Cross multiply
    551,954.25x = 830,665.13 × 830,665.13
  4. Step 4: Simplify right side
    551,954.25x = 690,004,549,891.27
  5. Step 5: Solve for x
    x = 690,004,549,891.27/551,954.25
  6. Step 6: Final answer
    x = 1,250,111.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.