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Finding the Third Proportional to 315,632 and 679,384

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Solution

The third proportional to 315,632 and 679,384 is: 1,462,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,632 : 679,384 = 679,384 : x
  2. Step 2: Convert to fraction form
    315,632/679,384 = 679,384/x
  3. Step 3: Cross multiply
    315,632x = 679,384 × 679,384
  4. Step 4: Simplify right side
    315,632x = 461,562,619,456
  5. Step 5: Solve for x
    x = 461,562,619,456/315,632
  6. Step 6: Final answer
    x = 1,462,344.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.