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Finding the Third Proportional to 211,536 and 461,658

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Solution

The third proportional to 211,536 and 461,658 is: 1,007,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,536 : 461,658 = 461,658 : x
  2. Step 2: Convert to fraction form
    211,536/461,658 = 461,658/x
  3. Step 3: Cross multiply
    211,536x = 461,658 × 461,658
  4. Step 4: Simplify right side
    211,536x = 213,128,108,964
  5. Step 5: Solve for x
    x = 213,128,108,964/211,536
  6. Step 6: Final answer
    x = 1,007,526.42

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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.