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Finding the Third Proportional to 561,853.13 and 1,238,233.50

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Solution

The third proportional to 561,853.13 and 1,238,233.50 is: 2,728,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,853.13 : 1,238,233.50 = 1,238,233.50 : x
  2. Step 2: Convert to fraction form
    561,853.13/1,238,233.50 = 1,238,233.50/x
  3. Step 3: Cross multiply
    561,853.13x = 1,238,233.50 × 1,238,233.50
  4. Step 4: Simplify right side
    561,853.13x = 1,533,222,200,522.25
  5. Step 5: Solve for x
    x = 1,533,222,200,522.25/561,853.13
  6. Step 6: Final answer
    x = 2,728,866.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.