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Finding the Third Proportional to 360,295 and 782,126

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Solution

The third proportional to 360,295 and 782,126 is: 1,697,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,295 : 782,126 = 782,126 : x
  2. Step 2: Convert to fraction form
    360,295/782,126 = 782,126/x
  3. Step 3: Cross multiply
    360,295x = 782,126 × 782,126
  4. Step 4: Simplify right side
    360,295x = 611,721,079,876
  5. Step 5: Solve for x
    x = 611,721,079,876/360,295
  6. Step 6: Final answer
    x = 1,697,833.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.