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Finding the Third Proportional to 275,994 and 563,598

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Solution

The third proportional to 275,994 and 563,598 is: 1,150,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,994 : 563,598 = 563,598 : x
  2. Step 2: Convert to fraction form
    275,994/563,598 = 563,598/x
  3. Step 3: Cross multiply
    275,994x = 563,598 × 563,598
  4. Step 4: Simplify right side
    275,994x = 317,642,705,604
  5. Step 5: Solve for x
    x = 317,642,705,604/275,994
  6. Step 6: Final answer
    x = 1,150,904.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.