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Finding the Third Proportional to 351,122 and 762,020

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Solution

The third proportional to 351,122 and 762,020 is: 1,653,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,122 : 762,020 = 762,020 : x
  2. Step 2: Convert to fraction form
    351,122/762,020 = 762,020/x
  3. Step 3: Cross multiply
    351,122x = 762,020 × 762,020
  4. Step 4: Simplify right side
    351,122x = 580,674,480,400
  5. Step 5: Solve for x
    x = 580,674,480,400/351,122
  6. Step 6: Final answer
    x = 1,653,768.43

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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.