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Finding the Third Proportional to 254,250 and 557,343

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Solution

The third proportional to 254,250 and 557,343 is: 1,221,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,250 : 557,343 = 557,343 : x
  2. Step 2: Convert to fraction form
    254,250/557,343 = 557,343/x
  3. Step 3: Cross multiply
    254,250x = 557,343 × 557,343
  4. Step 4: Simplify right side
    254,250x = 310,631,219,649
  5. Step 5: Solve for x
    x = 310,631,219,649/254,250
  6. Step 6: Final answer
    x = 1,221,755.04

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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.