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Finding the Third Proportional to 600,166 and 929,004

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Solution

The third proportional to 600,166 and 929,004 is: 1,438,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,166 : 929,004 = 929,004 : x
  2. Step 2: Convert to fraction form
    600,166/929,004 = 929,004/x
  3. Step 3: Cross multiply
    600,166x = 929,004 × 929,004
  4. Step 4: Simplify right side
    600,166x = 863,048,432,016
  5. Step 5: Solve for x
    x = 863,048,432,016/600,166
  6. Step 6: Final answer
    x = 1,438,016.20

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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.