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Finding the Third Proportional to 254,970 and 560,272

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Solution

The third proportional to 254,970 and 560,272 is: 1,231,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,970 : 560,272 = 560,272 : x
  2. Step 2: Convert to fraction form
    254,970/560,272 = 560,272/x
  3. Step 3: Cross multiply
    254,970x = 560,272 × 560,272
  4. Step 4: Simplify right side
    254,970x = 313,904,713,984
  5. Step 5: Solve for x
    x = 313,904,713,984/254,970
  6. Step 6: Final answer
    x = 1,231,143.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.