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Finding the Third Proportional to 414,560 and 640,164

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Solution

The third proportional to 414,560 and 640,164 is: 988,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,560 : 640,164 = 640,164 : x
  2. Step 2: Convert to fraction form
    414,560/640,164 = 640,164/x
  3. Step 3: Cross multiply
    414,560x = 640,164 × 640,164
  4. Step 4: Simplify right side
    414,560x = 409,809,946,896
  5. Step 5: Solve for x
    x = 409,809,946,896/414,560
  6. Step 6: Final answer
    x = 988,541.94

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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.