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Finding the Third Proportional to 569,738.25 and 902,175.75

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Solution

The third proportional to 569,738.25 and 902,175.75 is: 1,428,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,738.25 : 902,175.75 = 902,175.75 : x
  2. Step 2: Convert to fraction form
    569,738.25/902,175.75 = 902,175.75/x
  3. Step 3: Cross multiply
    569,738.25x = 902,175.75 × 902,175.75
  4. Step 4: Simplify right side
    569,738.25x = 813,921,083,888.06
  5. Step 5: Solve for x
    x = 813,921,083,888.06/569,738.25
  6. Step 6: Final answer
    x = 1,428,587.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.