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Finding the Third Proportional to 416,274 and 619,803

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Solution

The third proportional to 416,274 and 619,803 is: 922,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,274 : 619,803 = 619,803 : x
  2. Step 2: Convert to fraction form
    416,274/619,803 = 619,803/x
  3. Step 3: Cross multiply
    416,274x = 619,803 × 619,803
  4. Step 4: Simplify right side
    416,274x = 384,155,758,809
  5. Step 5: Solve for x
    x = 384,155,758,809/416,274
  6. Step 6: Final answer
    x = 922,843.51

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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.