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Finding the Third Proportional to 235,532 and 363,884

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Solution

The third proportional to 235,532 and 363,884 is: 562,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,532 : 363,884 = 363,884 : x
  2. Step 2: Convert to fraction form
    235,532/363,884 = 363,884/x
  3. Step 3: Cross multiply
    235,532x = 363,884 × 363,884
  4. Step 4: Simplify right side
    235,532x = 132,411,565,456
  5. Step 5: Solve for x
    x = 132,411,565,456/235,532
  6. Step 6: Final answer
    x = 562,180.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.