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Finding the Third Proportional to 215,424 and 328,968

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Solution

The third proportional to 215,424 and 328,968 is: 502,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424 : 328,968 = 328,968 : x
  2. Step 2: Convert to fraction form
    215,424/328,968 = 328,968/x
  3. Step 3: Cross multiply
    215,424x = 328,968 × 328,968
  4. Step 4: Simplify right side
    215,424x = 108,219,945,024
  5. Step 5: Solve for x
    x = 108,219,945,024/215,424
  6. Step 6: Final answer
    x = 502,357.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.