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Finding the Third Proportional to 315,864 and 690,777

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Solution

The third proportional to 315,864 and 690,777 is: 1,510,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,864 : 690,777 = 690,777 : x
  2. Step 2: Convert to fraction form
    315,864/690,777 = 690,777/x
  3. Step 3: Cross multiply
    315,864x = 690,777 × 690,777
  4. Step 4: Simplify right side
    315,864x = 477,172,863,729
  5. Step 5: Solve for x
    x = 477,172,863,729/315,864
  6. Step 6: Final answer
    x = 1,510,690.88

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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.