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Finding the Third Proportional to 569,128 and 852,200

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Solution

The third proportional to 569,128 and 852,200 is: 1,276,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,128 : 852,200 = 852,200 : x
  2. Step 2: Convert to fraction form
    569,128/852,200 = 852,200/x
  3. Step 3: Cross multiply
    569,128x = 852,200 × 852,200
  4. Step 4: Simplify right side
    569,128x = 726,244,840,000
  5. Step 5: Solve for x
    x = 726,244,840,000/569,128
  6. Step 6: Final answer
    x = 1,276,065.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.