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Finding the Third Proportional to 408,048 and 633,360

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Solution

The third proportional to 408,048 and 633,360 is: 983,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,048 : 633,360 = 633,360 : x
  2. Step 2: Convert to fraction form
    408,048/633,360 = 633,360/x
  3. Step 3: Cross multiply
    408,048x = 633,360 × 633,360
  4. Step 4: Simplify right side
    408,048x = 401,144,889,600
  5. Step 5: Solve for x
    x = 401,144,889,600/408,048
  6. Step 6: Final answer
    x = 983,082.60

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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.