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Finding the Third Proportional to 244,102.50 and 514,449

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Solution

The third proportional to 244,102.50 and 514,449 is: 1,084,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,102.50 : 514,449 = 514,449 : x
  2. Step 2: Convert to fraction form
    244,102.50/514,449 = 514,449/x
  3. Step 3: Cross multiply
    244,102.50x = 514,449 × 514,449
  4. Step 4: Simplify right side
    244,102.50x = 264,657,773,601
  5. Step 5: Solve for x
    x = 264,657,773,601/244,102.50
  6. Step 6: Final answer
    x = 1,084,207.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.