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Finding the Third Proportional to 413,930 and 632,925

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Solution

The third proportional to 413,930 and 632,925 is: 967,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,930 : 632,925 = 632,925 : x
  2. Step 2: Convert to fraction form
    413,930/632,925 = 632,925/x
  3. Step 3: Cross multiply
    413,930x = 632,925 × 632,925
  4. Step 4: Simplify right side
    413,930x = 400,594,055,625
  5. Step 5: Solve for x
    x = 400,594,055,625/413,930
  6. Step 6: Final answer
    x = 967,782.13

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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.