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Finding the Third Proportional to 343,765.27 and 505,117.27

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Solution

The third proportional to 343,765.27 and 505,117.27 is: 742,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,765.27 : 505,117.27 = 505,117.27 : x
  2. Step 2: Convert to fraction form
    343,765.27/505,117.27 = 505,117.27/x
  3. Step 3: Cross multiply
    343,765.27x = 505,117.27 × 505,117.27
  4. Step 4: Simplify right side
    343,765.27x = 255,143,452,032.48
  5. Step 5: Solve for x
    x = 255,143,452,032.48/343,765.27
  6. Step 6: Final answer
    x = 742,202.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.