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Finding the Third Proportional to 211,518.84 and 461,624.06

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Solution

The third proportional to 211,518.84 and 461,624.06 is: 1,007,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,518.84 : 461,624.06 = 461,624.06 : x
  2. Step 2: Convert to fraction form
    211,518.84/461,624.06 = 461,624.06/x
  3. Step 3: Cross multiply
    211,518.84x = 461,624.06 × 461,624.06
  4. Step 4: Simplify right side
    211,518.84x = 213,096,775,079.00
  5. Step 5: Solve for x
    x = 213,096,775,079.00/211,518.84
  6. Step 6: Final answer
    x = 1,007,460.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.