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Finding the Third Proportional to 368,358 and 568,809

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Solution

The third proportional to 368,358 and 568,809 is: 878,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,358 : 568,809 = 568,809 : x
  2. Step 2: Convert to fraction form
    368,358/568,809 = 568,809/x
  3. Step 3: Cross multiply
    368,358x = 568,809 × 568,809
  4. Step 4: Simplify right side
    368,358x = 323,543,678,481
  5. Step 5: Solve for x
    x = 323,543,678,481/368,358
  6. Step 6: Final answer
    x = 878,340.31

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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.