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Finding the Third Proportional to 337,208.06 and 724,443.75

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Solution

The third proportional to 337,208.06 and 724,443.75 is: 1,556,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,208.06 : 724,443.75 = 724,443.75 : x
  2. Step 2: Convert to fraction form
    337,208.06/724,443.75 = 724,443.75/x
  3. Step 3: Cross multiply
    337,208.06x = 724,443.75 × 724,443.75
  4. Step 4: Simplify right side
    337,208.06x = 524,818,746,914.06
  5. Step 5: Solve for x
    x = 524,818,746,914.06/337,208.06
  6. Step 6: Final answer
    x = 1,556,364.76

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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.