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Finding the Third Proportional to 397,248 and 555,672

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Solution

The third proportional to 397,248 and 555,672 is: 777,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,248 : 555,672 = 555,672 : x
  2. Step 2: Convert to fraction form
    397,248/555,672 = 555,672/x
  3. Step 3: Cross multiply
    397,248x = 555,672 × 555,672
  4. Step 4: Simplify right side
    397,248x = 308,771,371,584
  5. Step 5: Solve for x
    x = 308,771,371,584/397,248
  6. Step 6: Final answer
    x = 777,276.09

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