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Finding the Third Proportional to 341,622 and 486,646.50

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Solution

The third proportional to 341,622 and 486,646.50 is: 693,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,622 : 486,646.50 = 486,646.50 : x
  2. Step 2: Convert to fraction form
    341,622/486,646.50 = 486,646.50/x
  3. Step 3: Cross multiply
    341,622x = 486,646.50 × 486,646.50
  4. Step 4: Simplify right side
    341,622x = 236,824,815,962.25
  5. Step 5: Solve for x
    x = 236,824,815,962.25/341,622
  6. Step 6: Final answer
    x = 693,236.43

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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.