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Finding the Third Proportional to 329,529 and 493,159.50

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Solution

The third proportional to 329,529 and 493,159.50 is: 738,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,529 : 493,159.50 = 493,159.50 : x
  2. Step 2: Convert to fraction form
    329,529/493,159.50 = 493,159.50/x
  3. Step 3: Cross multiply
    329,529x = 493,159.50 × 493,159.50
  4. Step 4: Simplify right side
    329,529x = 243,206,292,440.25
  5. Step 5: Solve for x
    x = 243,206,292,440.25/329,529
  6. Step 6: Final answer
    x = 738,042.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.