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Finding the Third Proportional to 354,546 and 532,077

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Solution

The third proportional to 354,546 and 532,077 is: 798,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,546 : 532,077 = 532,077 : x
  2. Step 2: Convert to fraction form
    354,546/532,077 = 532,077/x
  3. Step 3: Cross multiply
    354,546x = 532,077 × 532,077
  4. Step 4: Simplify right side
    354,546x = 283,105,933,929
  5. Step 5: Solve for x
    x = 283,105,933,929/354,546
  6. Step 6: Final answer
    x = 798,502.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.