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Finding the Third Proportional to 535,814 and 727,695

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Solution

The third proportional to 535,814 and 727,695 is: 988,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,814 : 727,695 = 727,695 : x
  2. Step 2: Convert to fraction form
    535,814/727,695 = 727,695/x
  3. Step 3: Cross multiply
    535,814x = 727,695 × 727,695
  4. Step 4: Simplify right side
    535,814x = 529,540,013,025
  5. Step 5: Solve for x
    x = 529,540,013,025/535,814
  6. Step 6: Final answer
    x = 988,290.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.