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Finding the Third Proportional to 317,960 and 672,727

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Solution

The third proportional to 317,960 and 672,727 is: 1,423,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,960 : 672,727 = 672,727 : x
  2. Step 2: Convert to fraction form
    317,960/672,727 = 672,727/x
  3. Step 3: Cross multiply
    317,960x = 672,727 × 672,727
  4. Step 4: Simplify right side
    317,960x = 452,561,616,529
  5. Step 5: Solve for x
    x = 452,561,616,529/317,960
  6. Step 6: Final answer
    x = 1,423,328.77

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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.