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Finding the Third Proportional to 349,348 and 754,476

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Solution

The third proportional to 349,348 and 754,476 is: 1,629,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,348 : 754,476 = 754,476 : x
  2. Step 2: Convert to fraction form
    349,348/754,476 = 754,476/x
  3. Step 3: Cross multiply
    349,348x = 754,476 × 754,476
  4. Step 4: Simplify right side
    349,348x = 569,234,034,576
  5. Step 5: Solve for x
    x = 569,234,034,576/349,348
  6. Step 6: Final answer
    x = 1,629,418.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.