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Finding the Third Proportional to 269,579.53 and 577,027.13

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Solution

The third proportional to 269,579.53 and 577,027.13 is: 1,235,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,579.53 : 577,027.13 = 577,027.13 : x
  2. Step 2: Convert to fraction form
    269,579.53/577,027.13 = 577,027.13/x
  3. Step 3: Cross multiply
    269,579.53x = 577,027.13 × 577,027.13
  4. Step 4: Simplify right side
    269,579.53x = 332,960,302,985.77
  5. Step 5: Solve for x
    x = 332,960,302,985.77/269,579.53
  6. Step 6: Final answer
    x = 1,235,109.73

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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.