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Finding the Third Proportional to 337,112.50 and 724,252.50

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Solution

The third proportional to 337,112.50 and 724,252.50 is: 1,555,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,112.50 : 724,252.50 = 724,252.50 : x
  2. Step 2: Convert to fraction form
    337,112.50/724,252.50 = 724,252.50/x
  3. Step 3: Cross multiply
    337,112.50x = 724,252.50 × 724,252.50
  4. Step 4: Simplify right side
    337,112.50x = 524,541,683,756.25
  5. Step 5: Solve for x
    x = 524,541,683,756.25/337,112.50
  6. Step 6: Final answer
    x = 1,555,984.08

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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.