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Finding the Third Proportional to 250,701 and 547,132

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Solution

The third proportional to 250,701 and 547,132 is: 1,194,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,701 : 547,132 = 547,132 : x
  2. Step 2: Convert to fraction form
    250,701/547,132 = 547,132/x
  3. Step 3: Cross multiply
    250,701x = 547,132 × 547,132
  4. Step 4: Simplify right side
    250,701x = 299,353,425,424
  5. Step 5: Solve for x
    x = 299,353,425,424/250,701
  6. Step 6: Final answer
    x = 1,194,065.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.