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Finding the Third Proportional to 419,613 and 632,901

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Solution

The third proportional to 419,613 and 632,901 is: 954,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,613 : 632,901 = 632,901 : x
  2. Step 2: Convert to fraction form
    419,613/632,901 = 632,901/x
  3. Step 3: Cross multiply
    419,613x = 632,901 × 632,901
  4. Step 4: Simplify right side
    419,613x = 400,563,675,801
  5. Step 5: Solve for x
    x = 400,563,675,801/419,613
  6. Step 6: Final answer
    x = 954,602.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.