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Finding the Third Proportional to 535,200 and 728,982

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Solution

The third proportional to 535,200 and 728,982 is: 992,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,200 : 728,982 = 728,982 : x
  2. Step 2: Convert to fraction form
    535,200/728,982 = 728,982/x
  3. Step 3: Cross multiply
    535,200x = 728,982 × 728,982
  4. Step 4: Simplify right side
    535,200x = 531,414,756,324
  5. Step 5: Solve for x
    x = 531,414,756,324/535,200
  6. Step 6: Final answer
    x = 992,927.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.