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Finding the Third Proportional to 600,960 and 899,564

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Solution

The third proportional to 600,960 and 899,564 is: 1,346,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,960 : 899,564 = 899,564 : x
  2. Step 2: Convert to fraction form
    600,960/899,564 = 899,564/x
  3. Step 3: Cross multiply
    600,960x = 899,564 × 899,564
  4. Step 4: Simplify right side
    600,960x = 809,215,390,096
  5. Step 5: Solve for x
    x = 809,215,390,096/600,960
  6. Step 6: Final answer
    x = 1,346,537.86

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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.