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Finding the Third Proportional to 368,355 and 568,805

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Solution

The third proportional to 368,355 and 568,805 is: 878,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,355 : 568,805 = 568,805 : x
  2. Step 2: Convert to fraction form
    368,355/568,805 = 568,805/x
  3. Step 3: Cross multiply
    368,355x = 568,805 × 568,805
  4. Step 4: Simplify right side
    368,355x = 323,539,128,025
  5. Step 5: Solve for x
    x = 323,539,128,025/368,355
  6. Step 6: Final answer
    x = 878,335.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.