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Finding the Third Proportional to 262,774.13 and 364,015.69

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Solution

The third proportional to 262,774.13 and 364,015.69 is: 504,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,774.13 : 364,015.69 = 364,015.69 : x
  2. Step 2: Convert to fraction form
    262,774.13/364,015.69 = 364,015.69/x
  3. Step 3: Cross multiply
    262,774.13x = 364,015.69 × 364,015.69
  4. Step 4: Simplify right side
    262,774.13x = 132,507,420,746.10
  5. Step 5: Solve for x
    x = 132,507,420,746.10/262,774.13
  6. Step 6: Final answer
    x = 504,263.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.