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Finding the Third Proportional to 352,734 and 540,496

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Solution

The third proportional to 352,734 and 540,496 is: 828,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,734 : 540,496 = 540,496 : x
  2. Step 2: Convert to fraction form
    352,734/540,496 = 540,496/x
  3. Step 3: Cross multiply
    352,734x = 540,496 × 540,496
  4. Step 4: Simplify right side
    352,734x = 292,135,926,016
  5. Step 5: Solve for x
    x = 292,135,926,016/352,734
  6. Step 6: Final answer
    x = 828,204.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.