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Finding the Third Proportional to 724,173.75 and 1,541,902.50

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Solution

The third proportional to 724,173.75 and 1,541,902.50 is: 3,283,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,173.75 : 1,541,902.50 = 1,541,902.50 : x
  2. Step 2: Convert to fraction form
    724,173.75/1,541,902.50 = 1,541,902.50/x
  3. Step 3: Cross multiply
    724,173.75x = 1,541,902.50 × 1,541,902.50
  4. Step 4: Simplify right side
    724,173.75x = 2,377,463,319,506.25
  5. Step 5: Solve for x
    x = 2,377,463,319,506.25/724,173.75
  6. Step 6: Final answer
    x = 3,283,001.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.