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Finding the Third Proportional to 348,586.03 and 739,023.75

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Solution

The third proportional to 348,586.03 and 739,023.75 is: 1,566,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,586.03 : 739,023.75 = 739,023.75 : x
  2. Step 2: Convert to fraction form
    348,586.03/739,023.75 = 739,023.75/x
  3. Step 3: Cross multiply
    348,586.03x = 739,023.75 × 739,023.75
  4. Step 4: Simplify right side
    348,586.03x = 546,156,103,064.06
  5. Step 5: Solve for x
    x = 546,156,103,064.06/348,586.03
  6. Step 6: Final answer
    x = 1,566,775.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.