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Finding the Third Proportional to 344,144 and 754,762

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Solution

The third proportional to 344,144 and 754,762 is: 1,655,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,144 : 754,762 = 754,762 : x
  2. Step 2: Convert to fraction form
    344,144/754,762 = 754,762/x
  3. Step 3: Cross multiply
    344,144x = 754,762 × 754,762
  4. Step 4: Simplify right side
    344,144x = 569,665,676,644
  5. Step 5: Solve for x
    x = 569,665,676,644/344,144
  6. Step 6: Final answer
    x = 1,655,311.95

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Why These Related Problems?

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