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Finding the Third Proportional to 252,250 and 544,321

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Solution

The third proportional to 252,250 and 544,321 is: 1,174,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,250 : 544,321 = 544,321 : x
  2. Step 2: Convert to fraction form
    252,250/544,321 = 544,321/x
  3. Step 3: Cross multiply
    252,250x = 544,321 × 544,321
  4. Step 4: Simplify right side
    252,250x = 296,285,351,041
  5. Step 5: Solve for x
    x = 296,285,351,041/252,250
  6. Step 6: Final answer
    x = 1,174,570.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.