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Finding the Third Proportional to 535,818 and 727,701

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Solution

The third proportional to 535,818 and 727,701 is: 988,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,818 : 727,701 = 727,701 : x
  2. Step 2: Convert to fraction form
    535,818/727,701 = 727,701/x
  3. Step 3: Cross multiply
    535,818x = 727,701 × 727,701
  4. Step 4: Simplify right side
    535,818x = 529,548,745,401
  5. Step 5: Solve for x
    x = 529,548,745,401/535,818
  6. Step 6: Final answer
    x = 988,299.66

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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.