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Finding the Third Proportional to 338,033.50 and 729,407

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Solution

The third proportional to 338,033.50 and 729,407 is: 1,573,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,033.50 : 729,407 = 729,407 : x
  2. Step 2: Convert to fraction form
    338,033.50/729,407 = 729,407/x
  3. Step 3: Cross multiply
    338,033.50x = 729,407 × 729,407
  4. Step 4: Simplify right side
    338,033.50x = 532,034,571,649
  5. Step 5: Solve for x
    x = 532,034,571,649/338,033.50
  6. Step 6: Final answer
    x = 1,573,910.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.