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Finding the Third Proportional to 253,458 and 544,356

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Solution

The third proportional to 253,458 and 544,356 is: 1,169,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,458 : 544,356 = 544,356 : x
  2. Step 2: Convert to fraction form
    253,458/544,356 = 544,356/x
  3. Step 3: Cross multiply
    253,458x = 544,356 × 544,356
  4. Step 4: Simplify right side
    253,458x = 296,323,454,736
  5. Step 5: Solve for x
    x = 296,323,454,736/253,458
  6. Step 6: Final answer
    x = 1,169,122.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.