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Finding the Third Proportional to 344,106 and 754,632

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Solution

The third proportional to 344,106 and 754,632 is: 1,654,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,106 : 754,632 = 754,632 : x
  2. Step 2: Convert to fraction form
    344,106/754,632 = 754,632/x
  3. Step 3: Cross multiply
    344,106x = 754,632 × 754,632
  4. Step 4: Simplify right side
    344,106x = 569,469,455,424
  5. Step 5: Solve for x
    x = 569,469,455,424/344,106
  6. Step 6: Final answer
    x = 1,654,924.52

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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.