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Finding the Third Proportional to 592,150 and 899,302

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Solution

The third proportional to 592,150 and 899,302 is: 1,365,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,150 : 899,302 = 899,302 : x
  2. Step 2: Convert to fraction form
    592,150/899,302 = 899,302/x
  3. Step 3: Cross multiply
    592,150x = 899,302 × 899,302
  4. Step 4: Simplify right side
    592,150x = 808,744,087,204
  5. Step 5: Solve for x
    x = 808,744,087,204/592,150
  6. Step 6: Final answer
    x = 1,365,775.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.