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Finding the Third Proportional to 315,859 and 687,057

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Solution

The third proportional to 315,859 and 687,057 is: 1,494,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,859 : 687,057 = 687,057 : x
  2. Step 2: Convert to fraction form
    315,859/687,057 = 687,057/x
  3. Step 3: Cross multiply
    315,859x = 687,057 × 687,057
  4. Step 4: Simplify right side
    315,859x = 472,047,321,249
  5. Step 5: Solve for x
    x = 472,047,321,249/315,859
  6. Step 6: Final answer
    x = 1,494,487.48

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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.