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Finding the Third Proportional to 348,823.13 and 523,234.69

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Solution

The third proportional to 348,823.13 and 523,234.69 is: 784,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,823.13 : 523,234.69 = 523,234.69 : x
  2. Step 2: Convert to fraction form
    348,823.13/523,234.69 = 523,234.69/x
  3. Step 3: Cross multiply
    348,823.13x = 523,234.69 × 523,234.69
  4. Step 4: Simplify right side
    348,823.13x = 273,774,538,203.22
  5. Step 5: Solve for x
    x = 273,774,538,203.22/348,823.13
  6. Step 6: Final answer
    x = 784,852.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.