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Finding the Third Proportional to 535,832 and 729,712

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Solution

The third proportional to 535,832 and 729,712 is: 993,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,832 : 729,712 = 729,712 : x
  2. Step 2: Convert to fraction form
    535,832/729,712 = 729,712/x
  3. Step 3: Cross multiply
    535,832x = 729,712 × 729,712
  4. Step 4: Simplify right side
    535,832x = 532,479,602,944
  5. Step 5: Solve for x
    x = 532,479,602,944/535,832
  6. Step 6: Final answer
    x = 993,743.57

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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.