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Finding the Third Proportional to 368,656 and 752,864

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Solution

The third proportional to 368,656 and 752,864 is: 1,537,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,656 : 752,864 = 752,864 : x
  2. Step 2: Convert to fraction form
    368,656/752,864 = 752,864/x
  3. Step 3: Cross multiply
    368,656x = 752,864 × 752,864
  4. Step 4: Simplify right side
    368,656x = 566,804,202,496
  5. Step 5: Solve for x
    x = 566,804,202,496/368,656
  6. Step 6: Final answer
    x = 1,537,488.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.