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Finding the Third Proportional to 205,824 and 447,730

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Solution

The third proportional to 205,824 and 447,730 is: 973,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,824 : 447,730 = 447,730 : x
  2. Step 2: Convert to fraction form
    205,824/447,730 = 447,730/x
  3. Step 3: Cross multiply
    205,824x = 447,730 × 447,730
  4. Step 4: Simplify right side
    205,824x = 200,462,152,900
  5. Step 5: Solve for x
    x = 200,462,152,900/205,824
  6. Step 6: Final answer
    x = 973,949.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.