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Finding the Third Proportional to 238,041.28 and 560,965.50

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Solution

The third proportional to 238,041.28 and 560,965.50 is: 1,321,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,041.28 : 560,965.50 = 560,965.50 : x
  2. Step 2: Convert to fraction form
    238,041.28/560,965.50 = 560,965.50/x
  3. Step 3: Cross multiply
    238,041.28x = 560,965.50 × 560,965.50
  4. Step 4: Simplify right side
    238,041.28x = 314,682,292,190.25
  5. Step 5: Solve for x
    x = 314,682,292,190.25/238,041.28
  6. Step 6: Final answer
    x = 1,321,965.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.