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Finding the Third Proportional to 343,974.75 and 729,576.75

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Solution

The third proportional to 343,974.75 and 729,576.75 is: 1,547,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,974.75 : 729,576.75 = 729,576.75 : x
  2. Step 2: Convert to fraction form
    343,974.75/729,576.75 = 729,576.75/x
  3. Step 3: Cross multiply
    343,974.75x = 729,576.75 × 729,576.75
  4. Step 4: Simplify right side
    343,974.75x = 532,282,234,140.56
  5. Step 5: Solve for x
    x = 532,282,234,140.56/343,974.75
  6. Step 6: Final answer
    x = 1,547,445.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.