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Finding the Third Proportional to 582,338 and 873,507

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Solution

The third proportional to 582,338 and 873,507 is: 1,310,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,338 : 873,507 = 873,507 : x
  2. Step 2: Convert to fraction form
    582,338/873,507 = 873,507/x
  3. Step 3: Cross multiply
    582,338x = 873,507 × 873,507
  4. Step 4: Simplify right side
    582,338x = 763,014,479,049
  5. Step 5: Solve for x
    x = 763,014,479,049/582,338
  6. Step 6: Final answer
    x = 1,310,260.50

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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.