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Finding the Third Proportional to 582,340 and 873,510

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Solution

The third proportional to 582,340 and 873,510 is: 1,310,265

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,340 : 873,510 = 873,510 : x
  2. Step 2: Convert to fraction form
    582,340/873,510 = 873,510/x
  3. Step 3: Cross multiply
    582,340x = 873,510 × 873,510
  4. Step 4: Simplify right side
    582,340x = 763,019,720,100
  5. Step 5: Solve for x
    x = 763,019,720,100/582,340
  6. Step 6: Final answer
    x = 1,310,265

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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.