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Finding the Third Proportional to 253,718 and 557,653

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Solution

The third proportional to 253,718 and 557,653 is: 1,225,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,718 : 557,653 = 557,653 : x
  2. Step 2: Convert to fraction form
    253,718/557,653 = 557,653/x
  3. Step 3: Cross multiply
    253,718x = 557,653 × 557,653
  4. Step 4: Simplify right side
    253,718x = 310,976,868,409
  5. Step 5: Solve for x
    x = 310,976,868,409/253,718
  6. Step 6: Final answer
    x = 1,225,679.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.