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Finding the Third Proportional to 329,160 and 491,586

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Solution

The third proportional to 329,160 and 491,586 is: 734,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,160 : 491,586 = 491,586 : x
  2. Step 2: Convert to fraction form
    329,160/491,586 = 491,586/x
  3. Step 3: Cross multiply
    329,160x = 491,586 × 491,586
  4. Step 4: Simplify right side
    329,160x = 241,656,795,396
  5. Step 5: Solve for x
    x = 241,656,795,396/329,160
  6. Step 6: Final answer
    x = 734,162.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.