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Finding the Third Proportional to 268,272.56 and 583,138.13

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Solution

The third proportional to 268,272.56 and 583,138.13 is: 1,267,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272.56 : 583,138.13 = 583,138.13 : x
  2. Step 2: Convert to fraction form
    268,272.56/583,138.13 = 583,138.13/x
  3. Step 3: Cross multiply
    268,272.56x = 583,138.13 × 583,138.13
  4. Step 4: Simplify right side
    268,272.56x = 340,050,072,828.52
  5. Step 5: Solve for x
    x = 340,050,072,828.52/268,272.56
  6. Step 6: Final answer
    x = 1,267,554.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.