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Finding the Third Proportional to 677,203.50 and 898,983

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Solution

The third proportional to 677,203.50 and 898,983 is: 1,193,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,203.50 : 898,983 = 898,983 : x
  2. Step 2: Convert to fraction form
    677,203.50/898,983 = 898,983/x
  3. Step 3: Cross multiply
    677,203.50x = 898,983 × 898,983
  4. Step 4: Simplify right side
    677,203.50x = 808,170,434,289
  5. Step 5: Solve for x
    x = 808,170,434,289/677,203.50
  6. Step 6: Final answer
    x = 1,193,393.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.