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Finding the Third Proportional to 270,068.55 and 582,006.52

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Solution

The third proportional to 270,068.55 and 582,006.52 is: 1,254,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,068.55 : 582,006.52 = 582,006.52 : x
  2. Step 2: Convert to fraction form
    270,068.55/582,006.52 = 582,006.52/x
  3. Step 3: Cross multiply
    270,068.55x = 582,006.52 × 582,006.52
  4. Step 4: Simplify right side
    270,068.55x = 338,731,584,229.95
  5. Step 5: Solve for x
    x = 338,731,584,229.95/270,068.55
  6. Step 6: Final answer
    x = 1,254,242.96

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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.