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Finding the Third Proportional to 364,078 and 569,878

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Solution

The third proportional to 364,078 and 569,878 is: 892,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,078 : 569,878 = 569,878 : x
  2. Step 2: Convert to fraction form
    364,078/569,878 = 569,878/x
  3. Step 3: Cross multiply
    364,078x = 569,878 × 569,878
  4. Step 4: Simplify right side
    364,078x = 324,760,934,884
  5. Step 5: Solve for x
    x = 324,760,934,884/364,078
  6. Step 6: Final answer
    x = 892,009.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.