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Finding the Third Proportional to 338,881.50 and 733,552.50

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Solution

The third proportional to 338,881.50 and 733,552.50 is: 1,587,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,881.50 : 733,552.50 = 733,552.50 : x
  2. Step 2: Convert to fraction form
    338,881.50/733,552.50 = 733,552.50/x
  3. Step 3: Cross multiply
    338,881.50x = 733,552.50 × 733,552.50
  4. Step 4: Simplify right side
    338,881.50x = 538,099,270,256.25
  5. Step 5: Solve for x
    x = 538,099,270,256.25/338,881.50
  6. Step 6: Final answer
    x = 1,587,868.53

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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.