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Finding the Third Proportional to 601,056 and 899,712

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Solution

The third proportional to 601,056 and 899,712 is: 1,346,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,056 : 899,712 = 899,712 : x
  2. Step 2: Convert to fraction form
    601,056/899,712 = 899,712/x
  3. Step 3: Cross multiply
    601,056x = 899,712 × 899,712
  4. Step 4: Simplify right side
    601,056x = 809,481,682,944
  5. Step 5: Solve for x
    x = 809,481,682,944/601,056
  6. Step 6: Final answer
    x = 1,346,765.83

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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.