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Finding the Third Proportional to 211,060.97 and 461,532.94

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Solution

The third proportional to 211,060.97 and 461,532.94 is: 1,009,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,060.97 : 461,532.94 = 461,532.94 : x
  2. Step 2: Convert to fraction form
    211,060.97/461,532.94 = 461,532.94/x
  3. Step 3: Cross multiply
    211,060.97x = 461,532.94 × 461,532.94
  4. Step 4: Simplify right side
    211,060.97x = 213,012,652,397.38
  5. Step 5: Solve for x
    x = 213,012,652,397.38/211,060.97
  6. Step 6: Final answer
    x = 1,009,247.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.