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Finding the Third Proportional to 433,879.50 and 934,434

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Solution

The third proportional to 433,879.50 and 934,434 is: 2,012,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,879.50 : 934,434 = 934,434 : x
  2. Step 2: Convert to fraction form
    433,879.50/934,434 = 934,434/x
  3. Step 3: Cross multiply
    433,879.50x = 934,434 × 934,434
  4. Step 4: Simplify right side
    433,879.50x = 873,166,900,356
  5. Step 5: Solve for x
    x = 873,166,900,356/433,879.50
  6. Step 6: Final answer
    x = 2,012,464.06

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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.