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Finding the Third Proportional to 535,844 and 729,705

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Solution

The third proportional to 535,844 and 729,705 is: 993,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,844 : 729,705 = 729,705 : x
  2. Step 2: Convert to fraction form
    535,844/729,705 = 729,705/x
  3. Step 3: Cross multiply
    535,844x = 729,705 × 729,705
  4. Step 4: Simplify right side
    535,844x = 532,469,387,025
  5. Step 5: Solve for x
    x = 532,469,387,025/535,844
  6. Step 6: Final answer
    x = 993,702.25

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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.