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Finding the Third Proportional to 252,660.50 and 547,368

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Solution

The third proportional to 252,660.50 and 547,368 is: 1,185,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,660.50 : 547,368 = 547,368 : x
  2. Step 2: Convert to fraction form
    252,660.50/547,368 = 547,368/x
  3. Step 3: Cross multiply
    252,660.50x = 547,368 × 547,368
  4. Step 4: Simplify right side
    252,660.50x = 299,611,727,424
  5. Step 5: Solve for x
    x = 299,611,727,424/252,660.50
  6. Step 6: Final answer
    x = 1,185,827.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.