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Finding the Third Proportional to 333,867 and 787,343

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Solution

The third proportional to 333,867 and 787,343 is: 1,856,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,867 : 787,343 = 787,343 : x
  2. Step 2: Convert to fraction form
    333,867/787,343 = 787,343/x
  3. Step 3: Cross multiply
    333,867x = 787,343 × 787,343
  4. Step 4: Simplify right side
    333,867x = 619,908,999,649
  5. Step 5: Solve for x
    x = 619,908,999,649/333,867
  6. Step 6: Final answer
    x = 1,856,754.34

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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.