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Finding the Third Proportional to 408,004 and 633,318

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Solution

The third proportional to 408,004 and 633,318 is: 983,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,004 : 633,318 = 633,318 : x
  2. Step 2: Convert to fraction form
    408,004/633,318 = 633,318/x
  3. Step 3: Cross multiply
    408,004x = 633,318 × 633,318
  4. Step 4: Simplify right side
    408,004x = 401,091,689,124
  5. Step 5: Solve for x
    x = 401,091,689,124/408,004
  6. Step 6: Final answer
    x = 983,058.23

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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.