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Finding the Third Proportional to 535,824 and 729,702

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Solution

The third proportional to 535,824 and 729,702 is: 993,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,824 : 729,702 = 729,702 : x
  2. Step 2: Convert to fraction form
    535,824/729,702 = 729,702/x
  3. Step 3: Cross multiply
    535,824x = 729,702 × 729,702
  4. Step 4: Simplify right side
    535,824x = 532,465,008,804
  5. Step 5: Solve for x
    x = 532,465,008,804/535,824
  6. Step 6: Final answer
    x = 993,731.17

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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.