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Finding the Third Proportional to 269,743.50 and 547,461

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Solution

The third proportional to 269,743.50 and 547,461 is: 1,111,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,743.50 : 547,461 = 547,461 : x
  2. Step 2: Convert to fraction form
    269,743.50/547,461 = 547,461/x
  3. Step 3: Cross multiply
    269,743.50x = 547,461 × 547,461
  4. Step 4: Simplify right side
    269,743.50x = 299,713,546,521
  5. Step 5: Solve for x
    x = 299,713,546,521/269,743.50
  6. Step 6: Final answer
    x = 1,111,105.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.