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Finding the Third Proportional to 315,135 and 453,019.50

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Solution

The third proportional to 315,135 and 453,019.50 is: 651,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,135 : 453,019.50 = 453,019.50 : x
  2. Step 2: Convert to fraction form
    315,135/453,019.50 = 453,019.50/x
  3. Step 3: Cross multiply
    315,135x = 453,019.50 × 453,019.50
  4. Step 4: Simplify right side
    315,135x = 205,226,667,380.25
  5. Step 5: Solve for x
    x = 205,226,667,380.25/315,135
  6. Step 6: Final answer
    x = 651,234.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.