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Finding the Third Proportional to 582,276.38 and 1,272,498.75

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Solution

The third proportional to 582,276.38 and 1,272,498.75 is: 2,780,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,276.38 : 1,272,498.75 = 1,272,498.75 : x
  2. Step 2: Convert to fraction form
    582,276.38/1,272,498.75 = 1,272,498.75/x
  3. Step 3: Cross multiply
    582,276.38x = 1,272,498.75 × 1,272,498.75
  4. Step 4: Simplify right side
    582,276.38x = 1,619,253,068,751.56
  5. Step 5: Solve for x
    x = 1,619,253,068,751.56/582,276.38
  6. Step 6: Final answer
    x = 2,780,901.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.