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Finding the Third Proportional to 205,899 and 446,545.50

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Solution

The third proportional to 205,899 and 446,545.50 is: 968,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,899 : 446,545.50 = 446,545.50 : x
  2. Step 2: Convert to fraction form
    205,899/446,545.50 = 446,545.50/x
  3. Step 3: Cross multiply
    205,899x = 446,545.50 × 446,545.50
  4. Step 4: Simplify right side
    205,899x = 199,402,883,570.25
  5. Step 5: Solve for x
    x = 199,402,883,570.25/205,899
  6. Step 6: Final answer
    x = 968,449.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.