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Finding the Third Proportional to 523,882.69 and 789,922.13

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Solution

The third proportional to 523,882.69 and 789,922.13 is: 1,191,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,882.69 : 789,922.13 = 789,922.13 : x
  2. Step 2: Convert to fraction form
    523,882.69/789,922.13 = 789,922.13/x
  3. Step 3: Cross multiply
    523,882.69x = 789,922.13 × 789,922.13
  4. Step 4: Simplify right side
    523,882.69x = 623,976,963,564.52
  5. Step 5: Solve for x
    x = 623,976,963,564.52/523,882.69
  6. Step 6: Final answer
    x = 1,191,062.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.