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Finding the Third Proportional to 418,541.48 and 908,433.82

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Solution

The third proportional to 418,541.48 and 908,433.82 is: 1,971,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,541.48 : 908,433.82 = 908,433.82 : x
  2. Step 2: Convert to fraction form
    418,541.48/908,433.82 = 908,433.82/x
  3. Step 3: Cross multiply
    418,541.48x = 908,433.82 × 908,433.82
  4. Step 4: Simplify right side
    418,541.48x = 825,252,005,887.56
  5. Step 5: Solve for x
    x = 825,252,005,887.56/418,541.48
  6. Step 6: Final answer
    x = 1,971,732.88

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