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Finding the Third Proportional to 418,550.63 and 908,452.13

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Solution

The third proportional to 418,550.63 and 908,452.13 is: 1,971,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,550.63 : 908,452.13 = 908,452.13 : x
  2. Step 2: Convert to fraction form
    418,550.63/908,452.13 = 908,452.13/x
  3. Step 3: Cross multiply
    418,550.63x = 908,452.13 × 908,452.13
  4. Step 4: Simplify right side
    418,550.63x = 825,285,263,417.02
  5. Step 5: Solve for x
    x = 825,285,263,417.02/418,550.63
  6. Step 6: Final answer
    x = 1,971,769.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.