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Finding the Third Proportional to 218,841.75 and 475,034.63

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Solution

The third proportional to 218,841.75 and 475,034.63 is: 1,031,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,841.75 : 475,034.63 = 475,034.63 : x
  2. Step 2: Convert to fraction form
    218,841.75/475,034.63 = 475,034.63/x
  3. Step 3: Cross multiply
    218,841.75x = 475,034.63 × 475,034.63
  4. Step 4: Simplify right side
    218,841.75x = 225,657,894,948.89
  5. Step 5: Solve for x
    x = 225,657,894,948.89/218,841.75
  6. Step 6: Final answer
    x = 1,031,146.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.