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Finding the Third Proportional to 355,580 and 532,826

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Solution

The third proportional to 355,580 and 532,826 is: 798,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,580 : 532,826 = 532,826 : x
  2. Step 2: Convert to fraction form
    355,580/532,826 = 532,826/x
  3. Step 3: Cross multiply
    355,580x = 532,826 × 532,826
  4. Step 4: Simplify right side
    355,580x = 283,903,546,276
  5. Step 5: Solve for x
    x = 283,903,546,276/355,580
  6. Step 6: Final answer
    x = 798,423.83

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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.