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Finding the Third Proportional to 535,894 and 727,761

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Solution

The third proportional to 535,894 and 727,761 is: 988,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,894 : 727,761 = 727,761 : x
  2. Step 2: Convert to fraction form
    535,894/727,761 = 727,761/x
  3. Step 3: Cross multiply
    535,894x = 727,761 × 727,761
  4. Step 4: Simplify right side
    535,894x = 529,636,073,121
  5. Step 5: Solve for x
    x = 529,636,073,121/535,894
  6. Step 6: Final answer
    x = 988,322.45

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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.