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Finding the Third Proportional to 315,289 and 691,895

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Solution

The third proportional to 315,289 and 691,895 is: 1,518,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,289 : 691,895 = 691,895 : x
  2. Step 2: Convert to fraction form
    315,289/691,895 = 691,895/x
  3. Step 3: Cross multiply
    315,289x = 691,895 × 691,895
  4. Step 4: Simplify right side
    315,289x = 478,718,691,025
  5. Step 5: Solve for x
    x = 478,718,691,025/315,289
  6. Step 6: Final answer
    x = 1,518,348.85

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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.