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Finding the Third Proportional to 252,661.50 and 547,371

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Solution

The third proportional to 252,661.50 and 547,371 is: 1,185,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,661.50 : 547,371 = 547,371 : x
  2. Step 2: Convert to fraction form
    252,661.50/547,371 = 547,371/x
  3. Step 3: Cross multiply
    252,661.50x = 547,371 × 547,371
  4. Step 4: Simplify right side
    252,661.50x = 299,615,011,641
  5. Step 5: Solve for x
    x = 299,615,011,641/252,661.50
  6. Step 6: Final answer
    x = 1,185,835.64

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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.