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Finding the Third Proportional to 256,350 and 561,028

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Solution

The third proportional to 256,350 and 561,028 is: 1,227,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,350 : 561,028 = 561,028 : x
  2. Step 2: Convert to fraction form
    256,350/561,028 = 561,028/x
  3. Step 3: Cross multiply
    256,350x = 561,028 × 561,028
  4. Step 4: Simplify right side
    256,350x = 314,752,416,784
  5. Step 5: Solve for x
    x = 314,752,416,784/256,350
  6. Step 6: Final answer
    x = 1,227,822.96

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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.