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Finding the Third Proportional to 200,598 and 440,562

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Solution

The third proportional to 200,598 and 440,562 is: 967,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,598 : 440,562 = 440,562 : x
  2. Step 2: Convert to fraction form
    200,598/440,562 = 440,562/x
  3. Step 3: Cross multiply
    200,598x = 440,562 × 440,562
  4. Step 4: Simplify right side
    200,598x = 194,094,875,844
  5. Step 5: Solve for x
    x = 194,094,875,844/200,598
  6. Step 6: Final answer
    x = 967,581.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.