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Finding the Third Proportional to 247,728 and 535,200

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Solution

The third proportional to 247,728 and 535,200 is: 1,156,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,728 : 535,200 = 535,200 : x
  2. Step 2: Convert to fraction form
    247,728/535,200 = 535,200/x
  3. Step 3: Cross multiply
    247,728x = 535,200 × 535,200
  4. Step 4: Simplify right side
    247,728x = 286,439,040,000
  5. Step 5: Solve for x
    x = 286,439,040,000/247,728
  6. Step 6: Final answer
    x = 1,156,264.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.