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Finding the Third Proportional to 535,848 and 729,736

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Solution

The third proportional to 535,848 and 729,736 is: 993,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,848 : 729,736 = 729,736 : x
  2. Step 2: Convert to fraction form
    535,848/729,736 = 729,736/x
  3. Step 3: Cross multiply
    535,848x = 729,736 × 729,736
  4. Step 4: Simplify right side
    535,848x = 532,514,629,696
  5. Step 5: Solve for x
    x = 532,514,629,696/535,848
  6. Step 6: Final answer
    x = 993,779.26

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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.