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Finding the Third Proportional to 269,065.13 and 566,014.50

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Solution

The third proportional to 269,065.13 and 566,014.50 is: 1,190,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,065.13 : 566,014.50 = 566,014.50 : x
  2. Step 2: Convert to fraction form
    269,065.13/566,014.50 = 566,014.50/x
  3. Step 3: Cross multiply
    269,065.13x = 566,014.50 × 566,014.50
  4. Step 4: Simplify right side
    269,065.13x = 320,372,414,210.25
  5. Step 5: Solve for x
    x = 320,372,414,210.25/269,065.13
  6. Step 6: Final answer
    x = 1,190,687.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.