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Finding the Third Proportional to 535,842 and 729,702

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Solution

The third proportional to 535,842 and 729,702 is: 993,697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,842 : 729,702 = 729,702 : x
  2. Step 2: Convert to fraction form
    535,842/729,702 = 729,702/x
  3. Step 3: Cross multiply
    535,842x = 729,702 × 729,702
  4. Step 4: Simplify right side
    535,842x = 532,465,008,804
  5. Step 5: Solve for x
    x = 532,465,008,804/535,842
  6. Step 6: Final answer
    x = 993,697.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.