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Finding the Third Proportional to 419,590.13 and 632,876.63

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Solution

The third proportional to 419,590.13 and 632,876.63 is: 954,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,590.13 : 632,876.63 = 632,876.63 : x
  2. Step 2: Convert to fraction form
    419,590.13/632,876.63 = 632,876.63/x
  3. Step 3: Cross multiply
    419,590.13x = 632,876.63 × 632,876.63
  4. Step 4: Simplify right side
    419,590.13x = 400,532,822,471.39
  5. Step 5: Solve for x
    x = 400,532,822,471.39/419,590.13
  6. Step 6: Final answer
    x = 954,581.15

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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.