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Finding the Third Proportional to 338,263 and 786,596

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Solution

The third proportional to 338,263 and 786,596 is: 1,829,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,263 : 786,596 = 786,596 : x
  2. Step 2: Convert to fraction form
    338,263/786,596 = 786,596/x
  3. Step 3: Cross multiply
    338,263x = 786,596 × 786,596
  4. Step 4: Simplify right side
    338,263x = 618,733,267,216
  5. Step 5: Solve for x
    x = 618,733,267,216/338,263
  6. Step 6: Final answer
    x = 1,829,148.52

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.