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Finding the Third Proportional to 254,252 and 557,347

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Solution

The third proportional to 254,252 and 557,347 is: 1,221,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,252 : 557,347 = 557,347 : x
  2. Step 2: Convert to fraction form
    254,252/557,347 = 557,347/x
  3. Step 3: Cross multiply
    254,252x = 557,347 × 557,347
  4. Step 4: Simplify right side
    254,252x = 310,635,678,409
  5. Step 5: Solve for x
    x = 310,635,678,409/254,252
  6. Step 6: Final answer
    x = 1,221,762.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.