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Finding the Third Proportional to 353,504 and 535,400

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Solution

The third proportional to 353,504 and 535,400 is: 810,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,504 : 535,400 = 535,400 : x
  2. Step 2: Convert to fraction form
    353,504/535,400 = 535,400/x
  3. Step 3: Cross multiply
    353,504x = 535,400 × 535,400
  4. Step 4: Simplify right side
    353,504x = 286,653,160,000
  5. Step 5: Solve for x
    x = 286,653,160,000/353,504
  6. Step 6: Final answer
    x = 810,890.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.