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Finding the Third Proportional to 417,579 and 645,555

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Solution

The third proportional to 417,579 and 645,555 is: 997,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,579 : 645,555 = 645,555 : x
  2. Step 2: Convert to fraction form
    417,579/645,555 = 645,555/x
  3. Step 3: Cross multiply
    417,579x = 645,555 × 645,555
  4. Step 4: Simplify right side
    417,579x = 416,741,258,025
  5. Step 5: Solve for x
    x = 416,741,258,025/417,579
  6. Step 6: Final answer
    x = 997,993.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.