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Finding the Third Proportional to 205,382.50 and 444,461

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Solution

The third proportional to 205,382.50 and 444,461 is: 961,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,382.50 : 444,461 = 444,461 : x
  2. Step 2: Convert to fraction form
    205,382.50/444,461 = 444,461/x
  3. Step 3: Cross multiply
    205,382.50x = 444,461 × 444,461
  4. Step 4: Simplify right side
    205,382.50x = 197,545,580,521
  5. Step 5: Solve for x
    x = 197,545,580,521/205,382.50
  6. Step 6: Final answer
    x = 961,842.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.