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Finding the Third Proportional to 345,046.22 and 754,061.91

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Solution

The third proportional to 345,046.22 and 754,061.91 is: 1,647,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,046.22 : 754,061.91 = 754,061.91 : x
  2. Step 2: Convert to fraction form
    345,046.22/754,061.91 = 754,061.91/x
  3. Step 3: Cross multiply
    345,046.22x = 754,061.91 × 754,061.91
  4. Step 4: Simplify right side
    345,046.22x = 568,609,358,457.38
  5. Step 5: Solve for x
    x = 568,609,358,457.38/345,046.22
  6. Step 6: Final answer
    x = 1,647,922.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.