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Finding the Third Proportional to 286,068 and 617,104

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Solution

The third proportional to 286,068 and 617,104 is: 1,331,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,068 : 617,104 = 617,104 : x
  2. Step 2: Convert to fraction form
    286,068/617,104 = 617,104/x
  3. Step 3: Cross multiply
    286,068x = 617,104 × 617,104
  4. Step 4: Simplify right side
    286,068x = 380,817,346,816
  5. Step 5: Solve for x
    x = 380,817,346,816/286,068
  6. Step 6: Final answer
    x = 1,331,212.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.