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Finding the Third Proportional to 254,560 and 559,968

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Solution

The third proportional to 254,560 and 559,968 is: 1,231,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,560 : 559,968 = 559,968 : x
  2. Step 2: Convert to fraction form
    254,560/559,968 = 559,968/x
  3. Step 3: Cross multiply
    254,560x = 559,968 × 559,968
  4. Step 4: Simplify right side
    254,560x = 313,564,161,024
  5. Step 5: Solve for x
    x = 313,564,161,024/254,560
  6. Step 6: Final answer
    x = 1,231,788.82

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Why These Related Problems?

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