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Finding the Third Proportional to 557,826.75 and 810,496.13

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Solution

The third proportional to 557,826.75 and 810,496.13 is: 1,177,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,826.75 : 810,496.13 = 810,496.13 : x
  2. Step 2: Convert to fraction form
    557,826.75/810,496.13 = 810,496.13/x
  3. Step 3: Cross multiply
    557,826.75x = 810,496.13 × 810,496.13
  4. Step 4: Simplify right side
    557,826.75x = 656,903,968,640.02
  5. Step 5: Solve for x
    x = 656,903,968,640.02/557,826.75
  6. Step 6: Final answer
    x = 1,177,612.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.