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Finding the Third Proportional to 333,381 and 786,649

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Solution

The third proportional to 333,381 and 786,649 is: 1,856,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,381 : 786,649 = 786,649 : x
  2. Step 2: Convert to fraction form
    333,381/786,649 = 786,649/x
  3. Step 3: Cross multiply
    333,381x = 786,649 × 786,649
  4. Step 4: Simplify right side
    333,381x = 618,816,649,201
  5. Step 5: Solve for x
    x = 618,816,649,201/333,381
  6. Step 6: Final answer
    x = 1,856,184.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.