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Finding the Third Proportional to 582,062 and 875,259

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Solution

The third proportional to 582,062 and 875,259 is: 1,316,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,062 : 875,259 = 875,259 : x
  2. Step 2: Convert to fraction form
    582,062/875,259 = 875,259/x
  3. Step 3: Cross multiply
    582,062x = 875,259 × 875,259
  4. Step 4: Simplify right side
    582,062x = 766,078,317,081
  5. Step 5: Solve for x
    x = 766,078,317,081/582,062
  6. Step 6: Final answer
    x = 1,316,145.56

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Why These Related Problems?

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