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Finding the Third Proportional to 535,800.38 and 816,262.13

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Solution

The third proportional to 535,800.38 and 816,262.13 is: 1,243,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,800.38 : 816,262.13 = 816,262.13 : x
  2. Step 2: Convert to fraction form
    535,800.38/816,262.13 = 816,262.13/x
  3. Step 3: Cross multiply
    535,800.38x = 816,262.13 × 816,262.13
  4. Step 4: Simplify right side
    535,800.38x = 666,283,856,709.52
  5. Step 5: Solve for x
    x = 666,283,856,709.52/535,800.38
  6. Step 6: Final answer
    x = 1,243,530.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.