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Finding the Third Proportional to 408,066 and 612,101

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Solution

The third proportional to 408,066 and 612,101 is: 918,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,066 : 612,101 = 612,101 : x
  2. Step 2: Convert to fraction form
    408,066/612,101 = 612,101/x
  3. Step 3: Cross multiply
    408,066x = 612,101 × 612,101
  4. Step 4: Simplify right side
    408,066x = 374,667,634,201
  5. Step 5: Solve for x
    x = 374,667,634,201/408,066
  6. Step 6: Final answer
    x = 918,154.50

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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.