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Finding the Third Proportional to 232,996.50 and 499,977

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Solution

The third proportional to 232,996.50 and 499,977 is: 1,072,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,996.50 : 499,977 = 499,977 : x
  2. Step 2: Convert to fraction form
    232,996.50/499,977 = 499,977/x
  3. Step 3: Cross multiply
    232,996.50x = 499,977 × 499,977
  4. Step 4: Simplify right side
    232,996.50x = 249,977,000,529
  5. Step 5: Solve for x
    x = 249,977,000,529/232,996.50
  6. Step 6: Final answer
    x = 1,072,878.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.