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Finding the Third Proportional to 414,477 and 640,032

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Solution

The third proportional to 414,477 and 640,032 is: 988,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,477 : 640,032 = 640,032 : x
  2. Step 2: Convert to fraction form
    414,477/640,032 = 640,032/x
  3. Step 3: Cross multiply
    414,477x = 640,032 × 640,032
  4. Step 4: Simplify right side
    414,477x = 409,640,961,024
  5. Step 5: Solve for x
    x = 409,640,961,024/414,477
  6. Step 6: Final answer
    x = 988,332.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.