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Finding the Third Proportional to 268,279.13 and 583,150.13

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Solution

The third proportional to 268,279.13 and 583,150.13 is: 1,267,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,279.13 : 583,150.13 = 583,150.13 : x
  2. Step 2: Convert to fraction form
    268,279.13/583,150.13 = 583,150.13/x
  3. Step 3: Cross multiply
    268,279.13x = 583,150.13 × 583,150.13
  4. Step 4: Simplify right side
    268,279.13x = 340,064,068,287.52
  5. Step 5: Solve for x
    x = 340,064,068,287.52/268,279.13
  6. Step 6: Final answer
    x = 1,267,575.58

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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.