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Finding the Third Proportional to 407,320.31 and 569,729.53

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Solution

The third proportional to 407,320.31 and 569,729.53 is: 796,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,320.31 : 569,729.53 = 569,729.53 : x
  2. Step 2: Convert to fraction form
    407,320.31/569,729.53 = 569,729.53/x
  3. Step 3: Cross multiply
    407,320.31x = 569,729.53 × 569,729.53
  4. Step 4: Simplify right side
    407,320.31x = 324,591,738,778.35
  5. Step 5: Solve for x
    x = 324,591,738,778.35/407,320.31
  6. Step 6: Final answer
    x = 796,895.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.