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Finding the Third Proportional to 569,088 and 852,147

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Solution

The third proportional to 569,088 and 852,147 is: 1,275,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,088 : 852,147 = 852,147 : x
  2. Step 2: Convert to fraction form
    569,088/852,147 = 852,147/x
  3. Step 3: Cross multiply
    569,088x = 852,147 × 852,147
  4. Step 4: Simplify right side
    569,088x = 726,154,509,609
  5. Step 5: Solve for x
    x = 726,154,509,609/569,088
  6. Step 6: Final answer
    x = 1,275,996.88

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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.