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Finding the Third Proportional to 611,232.75 and 967,645.13

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Solution

The third proportional to 611,232.75 and 967,645.13 is: 1,531,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,232.75 : 967,645.13 = 967,645.13 : x
  2. Step 2: Convert to fraction form
    611,232.75/967,645.13 = 967,645.13/x
  3. Step 3: Cross multiply
    611,232.75x = 967,645.13 × 967,645.13
  4. Step 4: Simplify right side
    611,232.75x = 936,337,087,936.27
  5. Step 5: Solve for x
    x = 936,337,087,936.27/611,232.75
  6. Step 6: Final answer
    x = 1,531,883.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.