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Finding the Third Proportional to 350,700.75 and 542,419.13

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Solution

The third proportional to 350,700.75 and 542,419.13 is: 838,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,700.75 : 542,419.13 = 542,419.13 : x
  2. Step 2: Convert to fraction form
    350,700.75/542,419.13 = 542,419.13/x
  3. Step 3: Cross multiply
    350,700.75x = 542,419.13 × 542,419.13
  4. Step 4: Simplify right side
    350,700.75x = 294,218,507,165.77
  5. Step 5: Solve for x
    x = 294,218,507,165.77/350,700.75
  6. Step 6: Final answer
    x = 838,944.62

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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.