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Finding the Third Proportional to 262,524 and 561,034.50

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Solution

The third proportional to 262,524 and 561,034.50 is: 1,198,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,524 : 561,034.50 = 561,034.50 : x
  2. Step 2: Convert to fraction form
    262,524/561,034.50 = 561,034.50/x
  3. Step 3: Cross multiply
    262,524x = 561,034.50 × 561,034.50
  4. Step 4: Simplify right side
    262,524x = 314,759,710,190.25
  5. Step 5: Solve for x
    x = 314,759,710,190.25/262,524
  6. Step 6: Final answer
    x = 1,198,974.99

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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.