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Finding the Third Proportional to 579,976 and 887,296

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Solution

The third proportional to 579,976 and 887,296 is: 1,357,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,976 : 887,296 = 887,296 : x
  2. Step 2: Convert to fraction form
    579,976/887,296 = 887,296/x
  3. Step 3: Cross multiply
    579,976x = 887,296 × 887,296
  4. Step 4: Simplify right side
    579,976x = 787,294,191,616
  5. Step 5: Solve for x
    x = 787,294,191,616/579,976
  6. Step 6: Final answer
    x = 1,357,459.95

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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.