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Finding the Third Proportional to 601,400 and 899,143

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Solution

The third proportional to 601,400 and 899,143 is: 1,344,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,400 : 899,143 = 899,143 : x
  2. Step 2: Convert to fraction form
    601,400/899,143 = 899,143/x
  3. Step 3: Cross multiply
    601,400x = 899,143 × 899,143
  4. Step 4: Simplify right side
    601,400x = 808,458,134,449
  5. Step 5: Solve for x
    x = 808,458,134,449/601,400
  6. Step 6: Final answer
    x = 1,344,293.54

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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.