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Finding the Third Proportional to 275,598 and 590,562

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Solution

The third proportional to 275,598 and 590,562 is: 1,265,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,598 : 590,562 = 590,562 : x
  2. Step 2: Convert to fraction form
    275,598/590,562 = 590,562/x
  3. Step 3: Cross multiply
    275,598x = 590,562 × 590,562
  4. Step 4: Simplify right side
    275,598x = 348,763,475,844
  5. Step 5: Solve for x
    x = 348,763,475,844/275,598
  6. Step 6: Final answer
    x = 1,265,478.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.