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Finding the Third Proportional to 535,692 and 727,536

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Solution

The third proportional to 535,692 and 727,536 is: 988,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,692 : 727,536 = 727,536 : x
  2. Step 2: Convert to fraction form
    535,692/727,536 = 727,536/x
  3. Step 3: Cross multiply
    535,692x = 727,536 × 727,536
  4. Step 4: Simplify right side
    535,692x = 529,308,631,296
  5. Step 5: Solve for x
    x = 529,308,631,296/535,692
  6. Step 6: Final answer
    x = 988,083.88

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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.