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Finding the Third Proportional to 344,142 and 754,758

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Solution

The third proportional to 344,142 and 754,758 is: 1,655,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,142 : 754,758 = 754,758 : x
  2. Step 2: Convert to fraction form
    344,142/754,758 = 754,758/x
  3. Step 3: Cross multiply
    344,142x = 754,758 × 754,758
  4. Step 4: Simplify right side
    344,142x = 569,659,638,564
  5. Step 5: Solve for x
    x = 569,659,638,564/344,142
  6. Step 6: Final answer
    x = 1,655,304.03

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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.