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Finding the Third Proportional to 228,962 and 503,596

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Solution

The third proportional to 228,962 and 503,596 is: 1,107,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,962 : 503,596 = 503,596 : x
  2. Step 2: Convert to fraction form
    228,962/503,596 = 503,596/x
  3. Step 3: Cross multiply
    228,962x = 503,596 × 503,596
  4. Step 4: Simplify right side
    228,962x = 253,608,931,216
  5. Step 5: Solve for x
    x = 253,608,931,216/228,962
  6. Step 6: Final answer
    x = 1,107,646.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.