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Finding the Third Proportional to 310,927 and 659,219

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Solution

The third proportional to 310,927 and 659,219 is: 1,397,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,927 : 659,219 = 659,219 : x
  2. Step 2: Convert to fraction form
    310,927/659,219 = 659,219/x
  3. Step 3: Cross multiply
    310,927x = 659,219 × 659,219
  4. Step 4: Simplify right side
    310,927x = 434,569,689,961
  5. Step 5: Solve for x
    x = 434,569,689,961/310,927
  6. Step 6: Final answer
    x = 1,397,658.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.