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Finding the Third Proportional to 349,321.50 and 541,053

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Solution

The third proportional to 349,321.50 and 541,053 is: 838,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,321.50 : 541,053 = 541,053 : x
  2. Step 2: Convert to fraction form
    349,321.50/541,053 = 541,053/x
  3. Step 3: Cross multiply
    349,321.50x = 541,053 × 541,053
  4. Step 4: Simplify right side
    349,321.50x = 292,738,348,809
  5. Step 5: Solve for x
    x = 292,738,348,809/349,321.50
  6. Step 6: Final answer
    x = 838,019.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.