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Finding the Third Proportional to 535,906.13 and 833,383.69

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Solution

The third proportional to 535,906.13 and 833,383.69 is: 1,295,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,906.13 : 833,383.69 = 833,383.69 : x
  2. Step 2: Convert to fraction form
    535,906.13/833,383.69 = 833,383.69/x
  3. Step 3: Cross multiply
    535,906.13x = 833,383.69 × 833,383.69
  4. Step 4: Simplify right side
    535,906.13x = 694,528,370,591.10
  5. Step 5: Solve for x
    x = 694,528,370,591.10/535,906.13
  6. Step 6: Final answer
    x = 1,295,988.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.