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Finding the Third Proportional to 315,426 and 691,919.25

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Solution

The third proportional to 315,426 and 691,919.25 is: 1,517,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,426 : 691,919.25 = 691,919.25 : x
  2. Step 2: Convert to fraction form
    315,426/691,919.25 = 691,919.25/x
  3. Step 3: Cross multiply
    315,426x = 691,919.25 × 691,919.25
  4. Step 4: Simplify right side
    315,426x = 478,752,248,520.56
  5. Step 5: Solve for x
    x = 478,752,248,520.56/315,426
  6. Step 6: Final answer
    x = 1,517,795.77

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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.