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Finding the Third Proportional to 235,016 and 496,820

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Solution

The third proportional to 235,016 and 496,820 is: 1,050,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,016 : 496,820 = 496,820 : x
  2. Step 2: Convert to fraction form
    235,016/496,820 = 496,820/x
  3. Step 3: Cross multiply
    235,016x = 496,820 × 496,820
  4. Step 4: Simplify right side
    235,016x = 246,830,112,400
  5. Step 5: Solve for x
    x = 246,830,112,400/235,016
  6. Step 6: Final answer
    x = 1,050,269.40

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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.