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Finding the Third Proportional to 321,120 and 500,068

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Solution

The third proportional to 321,120 and 500,068 is: 778,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,120 : 500,068 = 500,068 : x
  2. Step 2: Convert to fraction form
    321,120/500,068 = 500,068/x
  3. Step 3: Cross multiply
    321,120x = 500,068 × 500,068
  4. Step 4: Simplify right side
    321,120x = 250,068,004,624
  5. Step 5: Solve for x
    x = 250,068,004,624/321,120
  6. Step 6: Final answer
    x = 778,736.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.