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Finding the Third Proportional to 329,517 and 500,593.50

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Solution

The third proportional to 329,517 and 500,593.50 is: 760,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,517 : 500,593.50 = 500,593.50 : x
  2. Step 2: Convert to fraction form
    329,517/500,593.50 = 500,593.50/x
  3. Step 3: Cross multiply
    329,517x = 500,593.50 × 500,593.50
  4. Step 4: Simplify right side
    329,517x = 250,593,852,242.25
  5. Step 5: Solve for x
    x = 250,593,852,242.25/329,517
  6. Step 6: Final answer
    x = 760,488.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.