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Finding the Third Proportional to 254,072.16 and 544,819.29

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Solution

The third proportional to 254,072.16 and 544,819.29 is: 1,168,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,072.16 : 544,819.29 = 544,819.29 : x
  2. Step 2: Convert to fraction form
    254,072.16/544,819.29 = 544,819.29/x
  3. Step 3: Cross multiply
    254,072.16x = 544,819.29 × 544,819.29
  4. Step 4: Simplify right side
    254,072.16x = 296,828,057,734.57
  5. Step 5: Solve for x
    x = 296,828,057,734.57/254,072.16
  6. Step 6: Final answer
    x = 1,168,282.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.