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Finding the Third Proportional to 600,144 and 928,644

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Solution

The third proportional to 600,144 and 928,644 is: 1,436,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,144 : 928,644 = 928,644 : x
  2. Step 2: Convert to fraction form
    600,144/928,644 = 928,644/x
  3. Step 3: Cross multiply
    600,144x = 928,644 × 928,644
  4. Step 4: Simplify right side
    600,144x = 862,379,678,736
  5. Step 5: Solve for x
    x = 862,379,678,736/600,144
  6. Step 6: Final answer
    x = 1,436,954.60

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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.