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Finding the Third Proportional to 317,640 and 698,252

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Solution

The third proportional to 317,640 and 698,252 is: 1,534,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,640 : 698,252 = 698,252 : x
  2. Step 2: Convert to fraction form
    317,640/698,252 = 698,252/x
  3. Step 3: Cross multiply
    317,640x = 698,252 × 698,252
  4. Step 4: Simplify right side
    317,640x = 487,555,855,504
  5. Step 5: Solve for x
    x = 487,555,855,504/317,640
  6. Step 6: Final answer
    x = 1,534,932.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.