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Finding the Third Proportional to 253,320 and 547,248

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Solution

The third proportional to 253,320 and 547,248 is: 1,182,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,320 : 547,248 = 547,248 : x
  2. Step 2: Convert to fraction form
    253,320/547,248 = 547,248/x
  3. Step 3: Cross multiply
    253,320x = 547,248 × 547,248
  4. Step 4: Simplify right side
    253,320x = 299,480,373,504
  5. Step 5: Solve for x
    x = 299,480,373,504/253,320
  6. Step 6: Final answer
    x = 1,182,221.59

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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.