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Finding the Third Proportional to 329,041 and 497,611.50

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Solution

The third proportional to 329,041 and 497,611.50 is: 752,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,041 : 497,611.50 = 497,611.50 : x
  2. Step 2: Convert to fraction form
    329,041/497,611.50 = 497,611.50/x
  3. Step 3: Cross multiply
    329,041x = 497,611.50 × 497,611.50
  4. Step 4: Simplify right side
    329,041x = 247,617,204,932.25
  5. Step 5: Solve for x
    x = 247,617,204,932.25/329,041
  6. Step 6: Final answer
    x = 752,542.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.