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Finding the Third Proportional to 582,624 and 879,285

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Solution

The third proportional to 582,624 and 879,285 is: 1,327,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,624 : 879,285 = 879,285 : x
  2. Step 2: Convert to fraction form
    582,624/879,285 = 879,285/x
  3. Step 3: Cross multiply
    582,624x = 879,285 × 879,285
  4. Step 4: Simplify right side
    582,624x = 773,142,111,225
  5. Step 5: Solve for x
    x = 773,142,111,225/582,624
  6. Step 6: Final answer
    x = 1,327,000.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.