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Finding the Third Proportional to 396,810 and 596,118

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Solution

The third proportional to 396,810 and 596,118 is: 895,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,810 : 596,118 = 596,118 : x
  2. Step 2: Convert to fraction form
    396,810/596,118 = 596,118/x
  3. Step 3: Cross multiply
    396,810x = 596,118 × 596,118
  4. Step 4: Simplify right side
    396,810x = 355,356,669,924
  5. Step 5: Solve for x
    x = 355,356,669,924/396,810
  6. Step 6: Final answer
    x = 895,533.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.