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Finding the Third Proportional to 403,099 and 582,711

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Solution

The third proportional to 403,099 and 582,711 is: 842,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,099 : 582,711 = 582,711 : x
  2. Step 2: Convert to fraction form
    403,099/582,711 = 582,711/x
  3. Step 3: Cross multiply
    403,099x = 582,711 × 582,711
  4. Step 4: Simplify right side
    403,099x = 339,552,109,521
  5. Step 5: Solve for x
    x = 339,552,109,521/403,099
  6. Step 6: Final answer
    x = 842,354.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.