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Finding the Third Proportional to 600,169 and 929,009

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Solution

The third proportional to 600,169 and 929,009 is: 1,438,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,169 : 929,009 = 929,009 : x
  2. Step 2: Convert to fraction form
    600,169/929,009 = 929,009/x
  3. Step 3: Cross multiply
    600,169x = 929,009 × 929,009
  4. Step 4: Simplify right side
    600,169x = 863,057,722,081
  5. Step 5: Solve for x
    x = 863,057,722,081/600,169
  6. Step 6: Final answer
    x = 1,438,024.49

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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.