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Finding the Third Proportional to 211,531.50 and 461,646

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Solution

The third proportional to 211,531.50 and 461,646 is: 1,007,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,531.50 : 461,646 = 461,646 : x
  2. Step 2: Convert to fraction form
    211,531.50/461,646 = 461,646/x
  3. Step 3: Cross multiply
    211,531.50x = 461,646 × 461,646
  4. Step 4: Simplify right side
    211,531.50x = 213,117,029,316
  5. Step 5: Solve for x
    x = 213,117,029,316/211,531.50
  6. Step 6: Final answer
    x = 1,007,495.48

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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.