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Finding the Third Proportional to 353,732 and 763,482

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Solution

The third proportional to 353,732 and 763,482 is: 1,647,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,732 : 763,482 = 763,482 : x
  2. Step 2: Convert to fraction form
    353,732/763,482 = 763,482/x
  3. Step 3: Cross multiply
    353,732x = 763,482 × 763,482
  4. Step 4: Simplify right side
    353,732x = 582,904,764,324
  5. Step 5: Solve for x
    x = 582,904,764,324/353,732
  6. Step 6: Final answer
    x = 1,647,871.17

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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.