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Finding the Third Proportional to 341,603 and 486,619

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Solution

The third proportional to 341,603 and 486,619 is: 693,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,603 : 486,619 = 486,619 : x
  2. Step 2: Convert to fraction form
    341,603/486,619 = 486,619/x
  3. Step 3: Cross multiply
    341,603x = 486,619 × 486,619
  4. Step 4: Simplify right side
    341,603x = 236,798,051,161
  5. Step 5: Solve for x
    x = 236,798,051,161/341,603
  6. Step 6: Final answer
    x = 693,196.64

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.