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Finding the Third Proportional to 582,060 and 875,256

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Solution

The third proportional to 582,060 and 875,256 is: 1,316,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,060 : 875,256 = 875,256 : x
  2. Step 2: Convert to fraction form
    582,060/875,256 = 875,256/x
  3. Step 3: Cross multiply
    582,060x = 875,256 × 875,256
  4. Step 4: Simplify right side
    582,060x = 766,073,065,536
  5. Step 5: Solve for x
    x = 766,073,065,536/582,060
  6. Step 6: Final answer
    x = 1,316,141.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.