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Finding the Third Proportional to 254,393.16 and 553,002.19

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Solution

The third proportional to 254,393.16 and 553,002.19 is: 1,202,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,393.16 : 553,002.19 = 553,002.19 : x
  2. Step 2: Convert to fraction form
    254,393.16/553,002.19 = 553,002.19/x
  3. Step 3: Cross multiply
    254,393.16x = 553,002.19 × 553,002.19
  4. Step 4: Simplify right side
    254,393.16x = 305,811,419,379.79
  5. Step 5: Solve for x
    x = 305,811,419,379.79/254,393.16
  6. Step 6: Final answer
    x = 1,202,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.