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Finding the Third Proportional to 390,064.50 and 582,522.75

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Solution

The third proportional to 390,064.50 and 582,522.75 is: 869,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,064.50 : 582,522.75 = 582,522.75 : x
  2. Step 2: Convert to fraction form
    390,064.50/582,522.75 = 582,522.75/x
  3. Step 3: Cross multiply
    390,064.50x = 582,522.75 × 582,522.75
  4. Step 4: Simplify right side
    390,064.50x = 339,332,754,267.56
  5. Step 5: Solve for x
    x = 339,332,754,267.56/390,064.50
  6. Step 6: Final answer
    x = 869,940.11

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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.