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Finding the Third Proportional to 318,289.50 and 460,302.75

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Solution

The third proportional to 318,289.50 and 460,302.75 is: 665,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,289.50 : 460,302.75 = 460,302.75 : x
  2. Step 2: Convert to fraction form
    318,289.50/460,302.75 = 460,302.75/x
  3. Step 3: Cross multiply
    318,289.50x = 460,302.75 × 460,302.75
  4. Step 4: Simplify right side
    318,289.50x = 211,878,621,657.56
  5. Step 5: Solve for x
    x = 211,878,621,657.56/318,289.50
  6. Step 6: Final answer
    x = 665,678.95

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.