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Finding the Third Proportional to 338,863.50 and 730,212.75

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Solution

The third proportional to 338,863.50 and 730,212.75 is: 1,573,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,863.50 : 730,212.75 = 730,212.75 : x
  2. Step 2: Convert to fraction form
    338,863.50/730,212.75 = 730,212.75/x
  3. Step 3: Cross multiply
    338,863.50x = 730,212.75 × 730,212.75
  4. Step 4: Simplify right side
    338,863.50x = 533,210,660,262.56
  5. Step 5: Solve for x
    x = 533,210,660,262.56/338,863.50
  6. Step 6: Final answer
    x = 1,573,526.39

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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.