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Finding the Third Proportional to 531,853.38 and 798,324.13

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Solution

The third proportional to 531,853.38 and 798,324.13 is: 1,198,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,853.38 : 798,324.13 = 798,324.13 : x
  2. Step 2: Convert to fraction form
    531,853.38/798,324.13 = 798,324.13/x
  3. Step 3: Cross multiply
    531,853.38x = 798,324.13 × 798,324.13
  4. Step 4: Simplify right side
    531,853.38x = 637,321,408,557.02
  5. Step 5: Solve for x
    x = 637,321,408,557.02/531,853.38
  6. Step 6: Final answer
    x = 1,198,302.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.