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Finding the Third Proportional to 329,075.16 and 491,459.91

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Solution

The third proportional to 329,075.16 and 491,459.91 is: 733,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,075.16 : 491,459.91 = 491,459.91 : x
  2. Step 2: Convert to fraction form
    329,075.16/491,459.91 = 491,459.91/x
  3. Step 3: Cross multiply
    329,075.16x = 491,459.91 × 491,459.91
  4. Step 4: Simplify right side
    329,075.16x = 241,532,839,451.26
  5. Step 5: Solve for x
    x = 241,532,839,451.26/329,075.16
  6. Step 6: Final answer
    x = 733,974.70

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