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Finding the Third Proportional to 175,422 and 362,879

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Solution

The third proportional to 175,422 and 362,879 is: 750,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,422 : 362,879 = 362,879 : x
  2. Step 2: Convert to fraction form
    175,422/362,879 = 362,879/x
  3. Step 3: Cross multiply
    175,422x = 362,879 × 362,879
  4. Step 4: Simplify right side
    175,422x = 131,681,168,641
  5. Step 5: Solve for x
    x = 131,681,168,641/175,422
  6. Step 6: Final answer
    x = 750,653.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.