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Finding the Third Proportional to 253,488 and 544,412

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Solution

The third proportional to 253,488 and 544,412 is: 1,169,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,488 : 544,412 = 544,412 : x
  2. Step 2: Convert to fraction form
    253,488/544,412 = 544,412/x
  3. Step 3: Cross multiply
    253,488x = 544,412 × 544,412
  4. Step 4: Simplify right side
    253,488x = 296,384,425,744
  5. Step 5: Solve for x
    x = 296,384,425,744/253,488
  6. Step 6: Final answer
    x = 1,169,224.68

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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.