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Finding the Third Proportional to 390,015 and 582,471

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Solution

The third proportional to 390,015 and 582,471 is: 869,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,015 : 582,471 = 582,471 : x
  2. Step 2: Convert to fraction form
    390,015/582,471 = 582,471/x
  3. Step 3: Cross multiply
    390,015x = 582,471 × 582,471
  4. Step 4: Simplify right side
    390,015x = 339,272,465,841
  5. Step 5: Solve for x
    x = 339,272,465,841/390,015
  6. Step 6: Final answer
    x = 869,895.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.