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Finding the Third Proportional to 338,735.25 and 735,969.38

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Solution

The third proportional to 338,735.25 and 735,969.38 is: 1,599,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,735.25 : 735,969.38 = 735,969.38 : x
  2. Step 2: Convert to fraction form
    338,735.25/735,969.38 = 735,969.38/x
  3. Step 3: Cross multiply
    338,735.25x = 735,969.38 × 735,969.38
  4. Step 4: Simplify right side
    338,735.25x = 541,650,920,937.89
  5. Step 5: Solve for x
    x = 541,650,920,937.89/338,735.25
  6. Step 6: Final answer
    x = 1,599,039.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.