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Finding the Third Proportional to 344,108 and 754,636

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Solution

The third proportional to 344,108 and 754,636 is: 1,654,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,108 : 754,636 = 754,636 : x
  2. Step 2: Convert to fraction form
    344,108/754,636 = 754,636/x
  3. Step 3: Cross multiply
    344,108x = 754,636 × 754,636
  4. Step 4: Simplify right side
    344,108x = 569,475,492,496
  5. Step 5: Solve for x
    x = 569,475,492,496/344,108
  6. Step 6: Final answer
    x = 1,654,932.44

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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.