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Finding the Third Proportional to 414,004 and 633,078

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Solution

The third proportional to 414,004 and 633,078 is: 968,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,004 : 633,078 = 633,078 : x
  2. Step 2: Convert to fraction form
    414,004/633,078 = 633,078/x
  3. Step 3: Cross multiply
    414,004x = 633,078 × 633,078
  4. Step 4: Simplify right side
    414,004x = 400,787,754,084
  5. Step 5: Solve for x
    x = 400,787,754,084/414,004
  6. Step 6: Final answer
    x = 968,077.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.