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Finding the Third Proportional to 348,640 and 755,964

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Solution

The third proportional to 348,640 and 755,964 is: 1,639,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,640 : 755,964 = 755,964 : x
  2. Step 2: Convert to fraction form
    348,640/755,964 = 755,964/x
  3. Step 3: Cross multiply
    348,640x = 755,964 × 755,964
  4. Step 4: Simplify right side
    348,640x = 571,481,569,296
  5. Step 5: Solve for x
    x = 571,481,569,296/348,640
  6. Step 6: Final answer
    x = 1,639,173.84

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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.