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Finding the Third Proportional to 240,277 and 528,517

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Solution

The third proportional to 240,277 and 528,517 is: 1,162,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,277 : 528,517 = 528,517 : x
  2. Step 2: Convert to fraction form
    240,277/528,517 = 528,517/x
  3. Step 3: Cross multiply
    240,277x = 528,517 × 528,517
  4. Step 4: Simplify right side
    240,277x = 279,330,219,289
  5. Step 5: Solve for x
    x = 279,330,219,289/240,277
  6. Step 6: Final answer
    x = 1,162,534.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.