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Finding the Third Proportional to 288,961.50 and 460,200

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Solution

The third proportional to 288,961.50 and 460,200 is: 732,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,961.50 : 460,200 = 460,200 : x
  2. Step 2: Convert to fraction form
    288,961.50/460,200 = 460,200/x
  3. Step 3: Cross multiply
    288,961.50x = 460,200 × 460,200
  4. Step 4: Simplify right side
    288,961.50x = 211,784,040,000
  5. Step 5: Solve for x
    x = 211,784,040,000/288,961.50
  6. Step 6: Final answer
    x = 732,914.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.