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Finding the Third Proportional to 211,537 and 461,663

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Solution

The third proportional to 211,537 and 461,663 is: 1,007,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,537 : 461,663 = 461,663 : x
  2. Step 2: Convert to fraction form
    211,537/461,663 = 461,663/x
  3. Step 3: Cross multiply
    211,537x = 461,663 × 461,663
  4. Step 4: Simplify right side
    211,537x = 213,132,725,569
  5. Step 5: Solve for x
    x = 213,132,725,569/211,537
  6. Step 6: Final answer
    x = 1,007,543.48

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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.