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Finding the Third Proportional to 211,525 and 461,634.50

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Solution

The third proportional to 211,525 and 461,634.50 is: 1,007,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,525 : 461,634.50 = 461,634.50 : x
  2. Step 2: Convert to fraction form
    211,525/461,634.50 = 461,634.50/x
  3. Step 3: Cross multiply
    211,525x = 461,634.50 × 461,634.50
  4. Step 4: Simplify right side
    211,525x = 213,106,411,590.25
  5. Step 5: Solve for x
    x = 213,106,411,590.25/211,525
  6. Step 6: Final answer
    x = 1,007,476.24

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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.