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Finding the Third Proportional to 258,552 and 379,308

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Solution

The third proportional to 258,552 and 379,308 is: 556,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,552 : 379,308 = 379,308 : x
  2. Step 2: Convert to fraction form
    258,552/379,308 = 379,308/x
  3. Step 3: Cross multiply
    258,552x = 379,308 × 379,308
  4. Step 4: Simplify right side
    258,552x = 143,874,558,864
  5. Step 5: Solve for x
    x = 143,874,558,864/258,552
  6. Step 6: Final answer
    x = 556,462.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.