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Finding the Third Proportional to 377,893.50 and 830,506.50

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Solution

The third proportional to 377,893.50 and 830,506.50 is: 1,825,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,893.50 : 830,506.50 = 830,506.50 : x
  2. Step 2: Convert to fraction form
    377,893.50/830,506.50 = 830,506.50/x
  3. Step 3: Cross multiply
    377,893.50x = 830,506.50 × 830,506.50
  4. Step 4: Simplify right side
    377,893.50x = 689,741,046,542.25
  5. Step 5: Solve for x
    x = 689,741,046,542.25/377,893.50
  6. Step 6: Final answer
    x = 1,825,226.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.