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Finding the Third Proportional to 418.36 and 621.07

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Solution

The third proportional to 418.36 and 621.07 is: 922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.36 : 621.07 = 621.07 : x
  2. Step 2: Convert to fraction form
    418.36/621.07 = 621.07/x
  3. Step 3: Cross multiply
    418.36x = 621.07 × 621.07
  4. Step 4: Simplify right side
    418.36x = 385,728.33
  5. Step 5: Solve for x
    x = 385,728.33/418.36
  6. Step 6: Final answer
    x = 922.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.