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Finding the Third Proportional to 582,274 and 925,900

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Solution

The third proportional to 582,274 and 925,900 is: 1,472,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,274 : 925,900 = 925,900 : x
  2. Step 2: Convert to fraction form
    582,274/925,900 = 925,900/x
  3. Step 3: Cross multiply
    582,274x = 925,900 × 925,900
  4. Step 4: Simplify right side
    582,274x = 857,290,810,000
  5. Step 5: Solve for x
    x = 857,290,810,000/582,274
  6. Step 6: Final answer
    x = 1,472,315.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.