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Finding the Third Proportional to 354,447.56 and 538,224.75

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Solution

The third proportional to 354,447.56 and 538,224.75 is: 817,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,447.56 : 538,224.75 = 538,224.75 : x
  2. Step 2: Convert to fraction form
    354,447.56/538,224.75 = 538,224.75/x
  3. Step 3: Cross multiply
    354,447.56x = 538,224.75 × 538,224.75
  4. Step 4: Simplify right side
    354,447.56x = 289,685,881,512.56
  5. Step 5: Solve for x
    x = 289,685,881,512.56/354,447.56
  6. Step 6: Final answer
    x = 817,288.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.