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Finding the Third Proportional to 355,711.50 and 839,677.50

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Solution

The third proportional to 355,711.50 and 839,677.50 is: 1,982,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,711.50 : 839,677.50 = 839,677.50 : x
  2. Step 2: Convert to fraction form
    355,711.50/839,677.50 = 839,677.50/x
  3. Step 3: Cross multiply
    355,711.50x = 839,677.50 × 839,677.50
  4. Step 4: Simplify right side
    355,711.50x = 705,058,304,006.25
  5. Step 5: Solve for x
    x = 705,058,304,006.25/355,711.50
  6. Step 6: Final answer
    x = 1,982,107.14

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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.