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Finding the Third Proportional to 252,328.78 and 533,088.56

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Solution

The third proportional to 252,328.78 and 533,088.56 is: 1,126,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,328.78 : 533,088.56 = 533,088.56 : x
  2. Step 2: Convert to fraction form
    252,328.78/533,088.56 = 533,088.56/x
  3. Step 3: Cross multiply
    252,328.78x = 533,088.56 × 533,088.56
  4. Step 4: Simplify right side
    252,328.78x = 284,183,415,468.32
  5. Step 5: Solve for x
    x = 284,183,415,468.32/252,328.78
  6. Step 6: Final answer
    x = 1,126,242.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.