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Finding the Third Proportional to 328,086 and 430,803

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Solution

The third proportional to 328,086 and 430,803 is: 565,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,086 : 430,803 = 430,803 : x
  2. Step 2: Convert to fraction form
    328,086/430,803 = 430,803/x
  3. Step 3: Cross multiply
    328,086x = 430,803 × 430,803
  4. Step 4: Simplify right side
    328,086x = 185,591,224,809
  5. Step 5: Solve for x
    x = 185,591,224,809/328,086
  6. Step 6: Final answer
    x = 565,678.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.