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Finding the Third Proportional to 208,416 and 491,496

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Solution

The third proportional to 208,416 and 491,496 is: 1,159,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,416 : 491,496 = 491,496 : x
  2. Step 2: Convert to fraction form
    208,416/491,496 = 491,496/x
  3. Step 3: Cross multiply
    208,416x = 491,496 × 491,496
  4. Step 4: Simplify right side
    208,416x = 241,568,318,016
  5. Step 5: Solve for x
    x = 241,568,318,016/208,416
  6. Step 6: Final answer
    x = 1,159,068.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.