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Finding the Third Proportional to 211,326.75 and 498,355.88

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Solution

The third proportional to 211,326.75 and 498,355.88 is: 1,175,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,326.75 : 498,355.88 = 498,355.88 : x
  2. Step 2: Convert to fraction form
    211,326.75/498,355.88 = 498,355.88/x
  3. Step 3: Cross multiply
    211,326.75x = 498,355.88 × 498,355.88
  4. Step 4: Simplify right side
    211,326.75x = 248,358,578,147.02
  5. Step 5: Solve for x
    x = 248,358,578,147.02/211,326.75
  6. Step 6: Final answer
    x = 1,175,234.93

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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.