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Finding the Third Proportional to 536,338 and 795,230

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Solution

The third proportional to 536,338 and 795,230 is: 1,179,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,338 : 795,230 = 795,230 : x
  2. Step 2: Convert to fraction form
    536,338/795,230 = 795,230/x
  3. Step 3: Cross multiply
    536,338x = 795,230 × 795,230
  4. Step 4: Simplify right side
    536,338x = 632,390,752,900
  5. Step 5: Solve for x
    x = 632,390,752,900/536,338
  6. Step 6: Final answer
    x = 1,179,089.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.