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Finding the Third Proportional to 535,164 and 733,855

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Solution

The third proportional to 535,164 and 733,855 is: 1,006,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,164 : 733,855 = 733,855 : x
  2. Step 2: Convert to fraction form
    535,164/733,855 = 733,855/x
  3. Step 3: Cross multiply
    535,164x = 733,855 × 733,855
  4. Step 4: Simplify right side
    535,164x = 538,543,161,025
  5. Step 5: Solve for x
    x = 538,543,161,025/535,164
  6. Step 6: Final answer
    x = 1,006,314.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.