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Finding the Third Proportional to 600,173 and 929,015

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Solution

The third proportional to 600,173 and 929,015 is: 1,438,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,173 : 929,015 = 929,015 : x
  2. Step 2: Convert to fraction form
    600,173/929,015 = 929,015/x
  3. Step 3: Cross multiply
    600,173x = 929,015 × 929,015
  4. Step 4: Simplify right side
    600,173x = 863,068,870,225
  5. Step 5: Solve for x
    x = 863,068,870,225/600,173
  6. Step 6: Final answer
    x = 1,438,033.48

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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.