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Finding the Third Proportional to 211,526.25 and 461,637

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Solution

The third proportional to 211,526.25 and 461,637 is: 1,007,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,526.25 : 461,637 = 461,637 : x
  2. Step 2: Convert to fraction form
    211,526.25/461,637 = 461,637/x
  3. Step 3: Cross multiply
    211,526.25x = 461,637 × 461,637
  4. Step 4: Simplify right side
    211,526.25x = 213,108,719,769
  5. Step 5: Solve for x
    x = 213,108,719,769/211,526.25
  6. Step 6: Final answer
    x = 1,007,481.20

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Why These Related Problems?

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