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Finding the Third Proportional to 315,309 and 453,280.50

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Solution

The third proportional to 315,309 and 453,280.50 is: 651,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,309 : 453,280.50 = 453,280.50 : x
  2. Step 2: Convert to fraction form
    315,309/453,280.50 = 453,280.50/x
  3. Step 3: Cross multiply
    315,309x = 453,280.50 × 453,280.50
  4. Step 4: Simplify right side
    315,309x = 205,463,211,680.25
  5. Step 5: Solve for x
    x = 205,463,211,680.25/315,309
  6. Step 6: Final answer
    x = 651,624.95

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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.