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Finding the Third Proportional to 416,270 and 619,797

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Solution

The third proportional to 416,270 and 619,797 is: 922,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,270 : 619,797 = 619,797 : x
  2. Step 2: Convert to fraction form
    416,270/619,797 = 619,797/x
  3. Step 3: Cross multiply
    416,270x = 619,797 × 619,797
  4. Step 4: Simplify right side
    416,270x = 384,148,321,209
  5. Step 5: Solve for x
    x = 384,148,321,209/416,270
  6. Step 6: Final answer
    x = 922,834.51

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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.