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Finding the Third Proportional to 373,035 and 816,054

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Solution

The third proportional to 373,035 and 816,054 is: 1,785,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,035 : 816,054 = 816,054 : x
  2. Step 2: Convert to fraction form
    373,035/816,054 = 816,054/x
  3. Step 3: Cross multiply
    373,035x = 816,054 × 816,054
  4. Step 4: Simplify right side
    373,035x = 665,944,130,916
  5. Step 5: Solve for x
    x = 665,944,130,916/373,035
  6. Step 6: Final answer
    x = 1,785,205.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.