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Finding the Third Proportional to 413,768 and 632,694

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Solution

The third proportional to 413,768 and 632,694 is: 967,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,768 : 632,694 = 632,694 : x
  2. Step 2: Convert to fraction form
    413,768/632,694 = 632,694/x
  3. Step 3: Cross multiply
    413,768x = 632,694 × 632,694
  4. Step 4: Simplify right side
    413,768x = 400,301,697,636
  5. Step 5: Solve for x
    x = 400,301,697,636/413,768
  6. Step 6: Final answer
    x = 967,454.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.