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Finding the Third Proportional to 535,827 and 727,704

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Solution

The third proportional to 535,827 and 727,704 is: 988,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,827 : 727,704 = 727,704 : x
  2. Step 2: Convert to fraction form
    535,827/727,704 = 727,704/x
  3. Step 3: Cross multiply
    535,827x = 727,704 × 727,704
  4. Step 4: Simplify right side
    535,827x = 529,553,111,616
  5. Step 5: Solve for x
    x = 529,553,111,616/535,827
  6. Step 6: Final answer
    x = 988,291.21

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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.