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Finding the Third Proportional to 312,320 and 694,504

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Solution

The third proportional to 312,320 and 694,504 is: 1,544,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,320 : 694,504 = 694,504 : x
  2. Step 2: Convert to fraction form
    312,320/694,504 = 694,504/x
  3. Step 3: Cross multiply
    312,320x = 694,504 × 694,504
  4. Step 4: Simplify right side
    312,320x = 482,335,806,016
  5. Step 5: Solve for x
    x = 482,335,806,016/312,320
  6. Step 6: Final answer
    x = 1,544,364.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.