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Finding the Third Proportional to 269,969.20 and 583,233.75

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Solution

The third proportional to 269,969.20 and 583,233.75 is: 1,260,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,969.20 : 583,233.75 = 583,233.75 : x
  2. Step 2: Convert to fraction form
    269,969.20/583,233.75 = 583,233.75/x
  3. Step 3: Cross multiply
    269,969.20x = 583,233.75 × 583,233.75
  4. Step 4: Simplify right side
    269,969.20x = 340,161,607,139.06
  5. Step 5: Solve for x
    x = 340,161,607,139.06/269,969.20
  6. Step 6: Final answer
    x = 1,260,001.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.