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Finding the Third Proportional to 211,528.97 and 461,642.63

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Solution

The third proportional to 211,528.97 and 461,642.63 is: 1,007,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,528.97 : 461,642.63 = 461,642.63 : x
  2. Step 2: Convert to fraction form
    211,528.97/461,642.63 = 461,642.63/x
  3. Step 3: Cross multiply
    211,528.97x = 461,642.63 × 461,642.63
  4. Step 4: Simplify right side
    211,528.97x = 213,113,913,216.89
  5. Step 5: Solve for x
    x = 213,113,913,216.89/211,528.97
  6. Step 6: Final answer
    x = 1,007,492.80

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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.