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Finding the Third Proportional to 253,222 and 540,343

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Solution

The third proportional to 253,222 and 540,343 is: 1,153,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,222 : 540,343 = 540,343 : x
  2. Step 2: Convert to fraction form
    253,222/540,343 = 540,343/x
  3. Step 3: Cross multiply
    253,222x = 540,343 × 540,343
  4. Step 4: Simplify right side
    253,222x = 291,970,557,649
  5. Step 5: Solve for x
    x = 291,970,557,649/253,222
  6. Step 6: Final answer
    x = 1,153,022.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.