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Finding the Third Proportional to 574,753.50 and 1,231,995.75

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Solution

The third proportional to 574,753.50 and 1,231,995.75 is: 2,640,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,753.50 : 1,231,995.75 = 1,231,995.75 : x
  2. Step 2: Convert to fraction form
    574,753.50/1,231,995.75 = 1,231,995.75/x
  3. Step 3: Cross multiply
    574,753.50x = 1,231,995.75 × 1,231,995.75
  4. Step 4: Simplify right side
    574,753.50x = 1,517,813,528,018.06
  5. Step 5: Solve for x
    x = 1,517,813,528,018.06/574,753.50
  6. Step 6: Final answer
    x = 2,640,807.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.