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Finding the Third Proportional to 328,092 and 469,173

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Solution

The third proportional to 328,092 and 469,173 is: 670,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,092 : 469,173 = 469,173 : x
  2. Step 2: Convert to fraction form
    328,092/469,173 = 469,173/x
  3. Step 3: Cross multiply
    328,092x = 469,173 × 469,173
  4. Step 4: Simplify right side
    328,092x = 220,123,303,929
  5. Step 5: Solve for x
    x = 220,123,303,929/328,092
  6. Step 6: Final answer
    x = 670,919.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.