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Finding the Third Proportional to 337,089 and 724,205.25

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Solution

The third proportional to 337,089 and 724,205.25 is: 1,555,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,089 : 724,205.25 = 724,205.25 : x
  2. Step 2: Convert to fraction form
    337,089/724,205.25 = 724,205.25/x
  3. Step 3: Cross multiply
    337,089x = 724,205.25 × 724,205.25
  4. Step 4: Simplify right side
    337,089x = 524,473,244,127.56
  5. Step 5: Solve for x
    x = 524,473,244,127.56/337,089
  6. Step 6: Final answer
    x = 1,555,889.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.