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Finding the Third Proportional to 337,098.50 and 724,224

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Solution

The third proportional to 337,098.50 and 724,224 is: 1,555,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,098.50 : 724,224 = 724,224 : x
  2. Step 2: Convert to fraction form
    337,098.50/724,224 = 724,224/x
  3. Step 3: Cross multiply
    337,098.50x = 724,224 × 724,224
  4. Step 4: Simplify right side
    337,098.50x = 524,500,402,176
  5. Step 5: Solve for x
    x = 524,500,402,176/337,098.50
  6. Step 6: Final answer
    x = 1,555,926.24

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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.