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Finding the Third Proportional to 416,270 and 619,796

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Solution

The third proportional to 416,270 and 619,796 is: 922,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,270 : 619,796 = 619,796 : x
  2. Step 2: Convert to fraction form
    416,270/619,796 = 619,796/x
  3. Step 3: Cross multiply
    416,270x = 619,796 × 619,796
  4. Step 4: Simplify right side
    416,270x = 384,147,081,616
  5. Step 5: Solve for x
    x = 384,147,081,616/416,270
  6. Step 6: Final answer
    x = 922,831.53

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