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Finding the Third Proportional to 348,484 and 755,976

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Solution

The third proportional to 348,484 and 755,976 is: 1,639,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,484 : 755,976 = 755,976 : x
  2. Step 2: Convert to fraction form
    348,484/755,976 = 755,976/x
  3. Step 3: Cross multiply
    348,484x = 755,976 × 755,976
  4. Step 4: Simplify right side
    348,484x = 571,499,712,576
  5. Step 5: Solve for x
    x = 571,499,712,576/348,484
  6. Step 6: Final answer
    x = 1,639,959.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.