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Finding the Third Proportional to 235,032 and 496,856

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Solution

The third proportional to 235,032 and 496,856 is: 1,050,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,032 : 496,856 = 496,856 : x
  2. Step 2: Convert to fraction form
    235,032/496,856 = 496,856/x
  3. Step 3: Cross multiply
    235,032x = 496,856 × 496,856
  4. Step 4: Simplify right side
    235,032x = 246,865,884,736
  5. Step 5: Solve for x
    x = 246,865,884,736/235,032
  6. Step 6: Final answer
    x = 1,050,350.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.