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Finding the Third Proportional to 408,042 and 613,630.50

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Solution

The third proportional to 408,042 and 613,630.50 is: 922,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,042 : 613,630.50 = 613,630.50 : x
  2. Step 2: Convert to fraction form
    408,042/613,630.50 = 613,630.50/x
  3. Step 3: Cross multiply
    408,042x = 613,630.50 × 613,630.50
  4. Step 4: Simplify right side
    408,042x = 376,542,390,530.25
  5. Step 5: Solve for x
    x = 376,542,390,530.25/408,042
  6. Step 6: Final answer
    x = 922,803.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.