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Finding the Third Proportional to 315,568 and 686,432

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Solution

The third proportional to 315,568 and 686,432 is: 1,493,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,568 : 686,432 = 686,432 : x
  2. Step 2: Convert to fraction form
    315,568/686,432 = 686,432/x
  3. Step 3: Cross multiply
    315,568x = 686,432 × 686,432
  4. Step 4: Simplify right side
    315,568x = 471,188,890,624
  5. Step 5: Solve for x
    x = 471,188,890,624/315,568
  6. Step 6: Final answer
    x = 1,493,145.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.