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Finding the Third Proportional to 338,350.50 and 491,535

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Solution

The third proportional to 338,350.50 and 491,535 is: 714,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,350.50 : 491,535 = 491,535 : x
  2. Step 2: Convert to fraction form
    338,350.50/491,535 = 491,535/x
  3. Step 3: Cross multiply
    338,350.50x = 491,535 × 491,535
  4. Step 4: Simplify right side
    338,350.50x = 241,606,656,225
  5. Step 5: Solve for x
    x = 241,606,656,225/338,350.50
  6. Step 6: Final answer
    x = 714,072.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.