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Finding the Third Proportional to 205,610.06 and 458,496.70

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Solution

The third proportional to 205,610.06 and 458,496.70 is: 1,022,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,610.06 : 458,496.70 = 458,496.70 : x
  2. Step 2: Convert to fraction form
    205,610.06/458,496.70 = 458,496.70/x
  3. Step 3: Cross multiply
    205,610.06x = 458,496.70 × 458,496.70
  4. Step 4: Simplify right side
    205,610.06x = 210,219,226,776.49
  5. Step 5: Solve for x
    x = 210,219,226,776.49/205,610.06
  6. Step 6: Final answer
    x = 1,022,417.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.