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Finding the Third Proportional to 535,864 and 727,772

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Solution

The third proportional to 535,864 and 727,772 is: 988,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,864 : 727,772 = 727,772 : x
  2. Step 2: Convert to fraction form
    535,864/727,772 = 727,772/x
  3. Step 3: Cross multiply
    535,864x = 727,772 × 727,772
  4. Step 4: Simplify right side
    535,864x = 529,652,083,984
  5. Step 5: Solve for x
    x = 529,652,083,984/535,864
  6. Step 6: Final answer
    x = 988,407.66

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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.