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Finding the Third Proportional to 329,077.69 and 505,586.81

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Solution

The third proportional to 329,077.69 and 505,586.81 is: 776,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,077.69 : 505,586.81 = 505,586.81 : x
  2. Step 2: Convert to fraction form
    329,077.69/505,586.81 = 505,586.81/x
  3. Step 3: Cross multiply
    329,077.69x = 505,586.81 × 505,586.81
  4. Step 4: Simplify right side
    329,077.69x = 255,618,024,973.91
  5. Step 5: Solve for x
    x = 255,618,024,973.91/329,077.69
  6. Step 6: Final answer
    x = 776,771.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.