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Finding the Third Proportional to 582,177 and 925,753.50

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Solution

The third proportional to 582,177 and 925,753.50 is: 1,472,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,177 : 925,753.50 = 925,753.50 : x
  2. Step 2: Convert to fraction form
    582,177/925,753.50 = 925,753.50/x
  3. Step 3: Cross multiply
    582,177x = 925,753.50 × 925,753.50
  4. Step 4: Simplify right side
    582,177x = 857,019,542,762.25
  5. Step 5: Solve for x
    x = 857,019,542,762.25/582,177
  6. Step 6: Final answer
    x = 1,472,094.47

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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.