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Finding the Third Proportional to 211,489 and 457,826

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Solution

The third proportional to 211,489 and 457,826 is: 991,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,489 : 457,826 = 457,826 : x
  2. Step 2: Convert to fraction form
    211,489/457,826 = 457,826/x
  3. Step 3: Cross multiply
    211,489x = 457,826 × 457,826
  4. Step 4: Simplify right side
    211,489x = 209,604,646,276
  5. Step 5: Solve for x
    x = 209,604,646,276/211,489
  6. Step 6: Final answer
    x = 991,090.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.