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Finding the Third Proportional to 413,768 and 632,684

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Solution

The third proportional to 413,768 and 632,684 is: 967,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,768 : 632,684 = 632,684 : x
  2. Step 2: Convert to fraction form
    413,768/632,684 = 632,684/x
  3. Step 3: Cross multiply
    413,768x = 632,684 × 632,684
  4. Step 4: Simplify right side
    413,768x = 400,289,043,856
  5. Step 5: Solve for x
    x = 400,289,043,856/413,768
  6. Step 6: Final answer
    x = 967,423.88

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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.