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Finding the Third Proportional to 211,140 and 498,210.75

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Solution

The third proportional to 211,140 and 498,210.75 is: 1,175,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,140 : 498,210.75 = 498,210.75 : x
  2. Step 2: Convert to fraction form
    211,140/498,210.75 = 498,210.75/x
  3. Step 3: Cross multiply
    211,140x = 498,210.75 × 498,210.75
  4. Step 4: Simplify right side
    211,140x = 248,213,951,415.56
  5. Step 5: Solve for x
    x = 248,213,951,415.56/211,140
  6. Step 6: Final answer
    x = 1,175,589.43

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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.