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Finding the Third Proportional to 315,562 and 679,238

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Solution

The third proportional to 315,562 and 679,238 is: 1,462,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,562 : 679,238 = 679,238 : x
  2. Step 2: Convert to fraction form
    315,562/679,238 = 679,238/x
  3. Step 3: Cross multiply
    315,562x = 679,238 × 679,238
  4. Step 4: Simplify right side
    315,562x = 461,364,260,644
  5. Step 5: Solve for x
    x = 461,364,260,644/315,562
  6. Step 6: Final answer
    x = 1,462,039.98

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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.