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Finding the Third Proportional to 315,856 and 690,761

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Solution

The third proportional to 315,856 and 690,761 is: 1,510,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,856 : 690,761 = 690,761 : x
  2. Step 2: Convert to fraction form
    315,856/690,761 = 690,761/x
  3. Step 3: Cross multiply
    315,856x = 690,761 × 690,761
  4. Step 4: Simplify right side
    315,856x = 477,150,759,121
  5. Step 5: Solve for x
    x = 477,150,759,121/315,856
  6. Step 6: Final answer
    x = 1,510,659.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.