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Finding the Third Proportional to 416,266 and 619,790

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Solution

The third proportional to 416,266 and 619,790 is: 922,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,266 : 619,790 = 619,790 : x
  2. Step 2: Convert to fraction form
    416,266/619,790 = 619,790/x
  3. Step 3: Cross multiply
    416,266x = 619,790 × 619,790
  4. Step 4: Simplify right side
    416,266x = 384,139,644,100
  5. Step 5: Solve for x
    x = 384,139,644,100/416,266
  6. Step 6: Final answer
    x = 922,822.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.