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Finding the Third Proportional to 345,519 and 754,866

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Solution

The third proportional to 345,519 and 754,866 is: 1,649,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,519 : 754,866 = 754,866 : x
  2. Step 2: Convert to fraction form
    345,519/754,866 = 754,866/x
  3. Step 3: Cross multiply
    345,519x = 754,866 × 754,866
  4. Step 4: Simplify right side
    345,519x = 569,822,677,956
  5. Step 5: Solve for x
    x = 569,822,677,956/345,519
  6. Step 6: Final answer
    x = 1,649,179.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.