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Finding the Third Proportional to 337,323.75 and 724,669.88

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Solution

The third proportional to 337,323.75 and 724,669.88 is: 1,556,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,323.75 : 724,669.88 = 724,669.88 : x
  2. Step 2: Convert to fraction form
    337,323.75/724,669.88 = 724,669.88/x
  3. Step 3: Cross multiply
    337,323.75x = 724,669.88 × 724,669.88
  4. Step 4: Simplify right side
    337,323.75x = 525,146,427,732.52
  5. Step 5: Solve for x
    x = 525,146,427,732.52/337,323.75
  6. Step 6: Final answer
    x = 1,556,802.41

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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.