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Finding the Third Proportional to 569,090 and 852,150

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Solution

The third proportional to 569,090 and 852,150 is: 1,276,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,090 : 852,150 = 852,150 : x
  2. Step 2: Convert to fraction form
    569,090/852,150 = 852,150/x
  3. Step 3: Cross multiply
    569,090x = 852,150 × 852,150
  4. Step 4: Simplify right side
    569,090x = 726,159,622,500
  5. Step 5: Solve for x
    x = 726,159,622,500/569,090
  6. Step 6: Final answer
    x = 1,276,001.38

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