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Finding the Third Proportional to 364,079 and 569,879

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Solution

The third proportional to 364,079 and 569,879 is: 892,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,079 : 569,879 = 569,879 : x
  2. Step 2: Convert to fraction form
    364,079/569,879 = 569,879/x
  3. Step 3: Cross multiply
    364,079x = 569,879 × 569,879
  4. Step 4: Simplify right side
    364,079x = 324,762,074,641
  5. Step 5: Solve for x
    x = 324,762,074,641/364,079
  6. Step 6: Final answer
    x = 892,009.91

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