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Finding the Third Proportional to 224,902.50 and 465,720.75

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Solution

The third proportional to 224,902.50 and 465,720.75 is: 964,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,902.50 : 465,720.75 = 465,720.75 : x
  2. Step 2: Convert to fraction form
    224,902.50/465,720.75 = 465,720.75/x
  3. Step 3: Cross multiply
    224,902.50x = 465,720.75 × 465,720.75
  4. Step 4: Simplify right side
    224,902.50x = 216,895,816,980.56
  5. Step 5: Solve for x
    x = 216,895,816,980.56/224,902.50
  6. Step 6: Final answer
    x = 964,399.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.