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Finding the Third Proportional to 355,524.19 and 660,610.69

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Solution

The third proportional to 355,524.19 and 660,610.69 is: 1,227,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,524.19 : 660,610.69 = 660,610.69 : x
  2. Step 2: Convert to fraction form
    355,524.19/660,610.69 = 660,610.69/x
  3. Step 3: Cross multiply
    355,524.19x = 660,610.69 × 660,610.69
  4. Step 4: Simplify right side
    355,524.19x = 436,406,480,439.22
  5. Step 5: Solve for x
    x = 436,406,480,439.22/355,524.19
  6. Step 6: Final answer
    x = 1,227,501.52

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.