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Finding the Third Proportional to 205,598 and 450,562

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Solution

The third proportional to 205,598 and 450,562 is: 987,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,598 : 450,562 = 450,562 : x
  2. Step 2: Convert to fraction form
    205,598/450,562 = 450,562/x
  3. Step 3: Cross multiply
    205,598x = 450,562 × 450,562
  4. Step 4: Simplify right side
    205,598x = 203,006,115,844
  5. Step 5: Solve for x
    x = 203,006,115,844/205,598
  6. Step 6: Final answer
    x = 987,393.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.