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Finding the Third Proportional to 414,480 and 640,035

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Solution

The third proportional to 414,480 and 640,035 is: 988,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,480 : 640,035 = 640,035 : x
  2. Step 2: Convert to fraction form
    414,480/640,035 = 640,035/x
  3. Step 3: Cross multiply
    414,480x = 640,035 × 640,035
  4. Step 4: Simplify right side
    414,480x = 409,644,801,225
  5. Step 5: Solve for x
    x = 409,644,801,225/414,480
  6. Step 6: Final answer
    x = 988,334.30

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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.