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Finding the Third Proportional to 360,524 and 834,590

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Solution

The third proportional to 360,524 and 834,590 is: 1,932,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,524 : 834,590 = 834,590 : x
  2. Step 2: Convert to fraction form
    360,524/834,590 = 834,590/x
  3. Step 3: Cross multiply
    360,524x = 834,590 × 834,590
  4. Step 4: Simplify right side
    360,524x = 696,540,468,100
  5. Step 5: Solve for x
    x = 696,540,468,100/360,524
  6. Step 6: Final answer
    x = 1,932,022.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.