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Finding the Third Proportional to 355,584 and 532,832

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Solution

The third proportional to 355,584 and 532,832 is: 798,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,584 : 532,832 = 532,832 : x
  2. Step 2: Convert to fraction form
    355,584/532,832 = 532,832/x
  3. Step 3: Cross multiply
    355,584x = 532,832 × 532,832
  4. Step 4: Simplify right side
    355,584x = 283,909,940,224
  5. Step 5: Solve for x
    x = 283,909,940,224/355,584
  6. Step 6: Final answer
    x = 798,432.83

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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.