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Finding the Third Proportional to 368,786 and 569,558

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Solution

The third proportional to 368,786 and 569,558 is: 879,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,786 : 569,558 = 569,558 : x
  2. Step 2: Convert to fraction form
    368,786/569,558 = 569,558/x
  3. Step 3: Cross multiply
    368,786x = 569,558 × 569,558
  4. Step 4: Simplify right side
    368,786x = 324,396,315,364
  5. Step 5: Solve for x
    x = 324,396,315,364/368,786
  6. Step 6: Final answer
    x = 879,632.95

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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.