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Finding the Third Proportional to 535,846 and 729,708

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Solution

The third proportional to 535,846 and 729,708 is: 993,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,846 : 729,708 = 729,708 : x
  2. Step 2: Convert to fraction form
    535,846/729,708 = 729,708/x
  3. Step 3: Cross multiply
    535,846x = 729,708 × 729,708
  4. Step 4: Simplify right side
    535,846x = 532,473,765,264
  5. Step 5: Solve for x
    x = 532,473,765,264/535,846
  6. Step 6: Final answer
    x = 993,706.71

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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.