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Finding the Third Proportional to 356,296 and 534,908

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Solution

The third proportional to 356,296 and 534,908 is: 803,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,296 : 534,908 = 534,908 : x
  2. Step 2: Convert to fraction form
    356,296/534,908 = 534,908/x
  3. Step 3: Cross multiply
    356,296x = 534,908 × 534,908
  4. Step 4: Simplify right side
    356,296x = 286,126,568,464
  5. Step 5: Solve for x
    x = 286,126,568,464/356,296
  6. Step 6: Final answer
    x = 803,058.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.