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Finding the Third Proportional to 579,816 and 887,016

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Solution

The third proportional to 579,816 and 887,016 is: 1,356,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,816 : 887,016 = 887,016 : x
  2. Step 2: Convert to fraction form
    579,816/887,016 = 887,016/x
  3. Step 3: Cross multiply
    579,816x = 887,016 × 887,016
  4. Step 4: Simplify right side
    579,816x = 786,797,384,256
  5. Step 5: Solve for x
    x = 786,797,384,256/579,816
  6. Step 6: Final answer
    x = 1,356,977.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.