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Finding the Third Proportional to 344,960 and 754,048

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Solution

The third proportional to 344,960 and 754,048 is: 1,648,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,960 : 754,048 = 754,048 : x
  2. Step 2: Convert to fraction form
    344,960/754,048 = 754,048/x
  3. Step 3: Cross multiply
    344,960x = 754,048 × 754,048
  4. Step 4: Simplify right side
    344,960x = 568,588,386,304
  5. Step 5: Solve for x
    x = 568,588,386,304/344,960
  6. Step 6: Final answer
    x = 1,648,273.38

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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.