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Finding the Third Proportional to 330,241 and 524,826

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Solution

The third proportional to 330,241 and 524,826 is: 834,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,241 : 524,826 = 524,826 : x
  2. Step 2: Convert to fraction form
    330,241/524,826 = 524,826/x
  3. Step 3: Cross multiply
    330,241x = 524,826 × 524,826
  4. Step 4: Simplify right side
    330,241x = 275,442,330,276
  5. Step 5: Solve for x
    x = 275,442,330,276/330,241
  6. Step 6: Final answer
    x = 834,064.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.