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Finding the Third Proportional to 535,890 and 727,755

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Solution

The third proportional to 535,890 and 727,755 is: 988,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,890 : 727,755 = 727,755 : x
  2. Step 2: Convert to fraction form
    535,890/727,755 = 727,755/x
  3. Step 3: Cross multiply
    535,890x = 727,755 × 727,755
  4. Step 4: Simplify right side
    535,890x = 529,627,340,025
  5. Step 5: Solve for x
    x = 529,627,340,025/535,890
  6. Step 6: Final answer
    x = 988,313.53

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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.