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Finding the Third Proportional to 354,328 and 538,052

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Solution

The third proportional to 354,328 and 538,052 is: 817,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,328 : 538,052 = 538,052 : x
  2. Step 2: Convert to fraction form
    354,328/538,052 = 538,052/x
  3. Step 3: Cross multiply
    354,328x = 538,052 × 538,052
  4. Step 4: Simplify right side
    354,328x = 289,499,954,704
  5. Step 5: Solve for x
    x = 289,499,954,704/354,328
  6. Step 6: Final answer
    x = 817,039.45

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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.