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Finding the Third Proportional to 286,060 and 617,100

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Solution

The third proportional to 286,060 and 617,100 is: 1,331,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,060 : 617,100 = 617,100 : x
  2. Step 2: Convert to fraction form
    286,060/617,100 = 617,100/x
  3. Step 3: Cross multiply
    286,060x = 617,100 × 617,100
  4. Step 4: Simplify right side
    286,060x = 380,812,410,000
  5. Step 5: Solve for x
    x = 380,812,410,000/286,060
  6. Step 6: Final answer
    x = 1,331,232.64

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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.