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Finding the Third Proportional to 333,911.50 and 787,434

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Solution

The third proportional to 333,911.50 and 787,434 is: 1,856,936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,911.50 : 787,434 = 787,434 : x
  2. Step 2: Convert to fraction form
    333,911.50/787,434 = 787,434/x
  3. Step 3: Cross multiply
    333,911.50x = 787,434 × 787,434
  4. Step 4: Simplify right side
    333,911.50x = 620,052,304,356
  5. Step 5: Solve for x
    x = 620,052,304,356/333,911.50
  6. Step 6: Final answer
    x = 1,856,936.06

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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.