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Finding the Third Proportional to 256,324 and 550,592

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Solution

The third proportional to 256,324 and 550,592 is: 1,182,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,324 : 550,592 = 550,592 : x
  2. Step 2: Convert to fraction form
    256,324/550,592 = 550,592/x
  3. Step 3: Cross multiply
    256,324x = 550,592 × 550,592
  4. Step 4: Simplify right side
    256,324x = 303,151,550,464
  5. Step 5: Solve for x
    x = 303,151,550,464/256,324
  6. Step 6: Final answer
    x = 1,182,688.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.