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Finding the Third Proportional to 348,650 and 752,596

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Solution

The third proportional to 348,650 and 752,596 is: 1,624,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,650 : 752,596 = 752,596 : x
  2. Step 2: Convert to fraction form
    348,650/752,596 = 752,596/x
  3. Step 3: Cross multiply
    348,650x = 752,596 × 752,596
  4. Step 4: Simplify right side
    348,650x = 566,400,739,216
  5. Step 5: Solve for x
    x = 566,400,739,216/348,650
  6. Step 6: Final answer
    x = 1,624,553.96

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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.