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Finding the Third Proportional to 314,199 and 582,471

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Solution

The third proportional to 314,199 and 582,471 is: 1,079,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,199 : 582,471 = 582,471 : x
  2. Step 2: Convert to fraction form
    314,199/582,471 = 582,471/x
  3. Step 3: Cross multiply
    314,199x = 582,471 × 582,471
  4. Step 4: Simplify right side
    314,199x = 339,272,465,841
  5. Step 5: Solve for x
    x = 339,272,465,841/314,199
  6. Step 6: Final answer
    x = 1,079,801.23

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.