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Finding the Third Proportional to 211,961 and 460,737

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Solution

The third proportional to 211,961 and 460,737 is: 1,001,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,961 : 460,737 = 460,737 : x
  2. Step 2: Convert to fraction form
    211,961/460,737 = 460,737/x
  3. Step 3: Cross multiply
    211,961x = 460,737 × 460,737
  4. Step 4: Simplify right side
    211,961x = 212,278,583,169
  5. Step 5: Solve for x
    x = 212,278,583,169/211,961
  6. Step 6: Final answer
    x = 1,001,498.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.