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Finding the Third Proportional to 360,530 and 834,605

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Solution

The third proportional to 360,530 and 834,605 is: 1,932,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,530 : 834,605 = 834,605 : x
  2. Step 2: Convert to fraction form
    360,530/834,605 = 834,605/x
  3. Step 3: Cross multiply
    360,530x = 834,605 × 834,605
  4. Step 4: Simplify right side
    360,530x = 696,565,506,025
  5. Step 5: Solve for x
    x = 696,565,506,025/360,530
  6. Step 6: Final answer
    x = 1,932,059.76

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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.