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Finding the Third Proportional to 216,642 and 467,537

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Solution

The third proportional to 216,642 and 467,537 is: 1,008,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,642 : 467,537 = 467,537 : x
  2. Step 2: Convert to fraction form
    216,642/467,537 = 467,537/x
  3. Step 3: Cross multiply
    216,642x = 467,537 × 467,537
  4. Step 4: Simplify right side
    216,642x = 218,590,846,369
  5. Step 5: Solve for x
    x = 218,590,846,369/216,642
  6. Step 6: Final answer
    x = 1,008,995.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.