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Finding the Third Proportional to 217,090.13 and 465,324.75

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Solution

The third proportional to 217,090.13 and 465,324.75 is: 997,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,090.13 : 465,324.75 = 465,324.75 : x
  2. Step 2: Convert to fraction form
    217,090.13/465,324.75 = 465,324.75/x
  3. Step 3: Cross multiply
    217,090.13x = 465,324.75 × 465,324.75
  4. Step 4: Simplify right side
    217,090.13x = 216,527,122,962.56
  5. Step 5: Solve for x
    x = 216,527,122,962.56/217,090.13
  6. Step 6: Final answer
    x = 997,406.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.