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Finding the Third Proportional to 348,816 and 753,380

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Solution

The third proportional to 348,816 and 753,380 is: 1,627,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,816 : 753,380 = 753,380 : x
  2. Step 2: Convert to fraction form
    348,816/753,380 = 753,380/x
  3. Step 3: Cross multiply
    348,816x = 753,380 × 753,380
  4. Step 4: Simplify right side
    348,816x = 567,581,424,400
  5. Step 5: Solve for x
    x = 567,581,424,400/348,816
  6. Step 6: Final answer
    x = 1,627,165.68

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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.