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Finding the Third Proportional to 396,636.75 and 578,340

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Solution

The third proportional to 396,636.75 and 578,340 is: 843,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,636.75 : 578,340 = 578,340 : x
  2. Step 2: Convert to fraction form
    396,636.75/578,340 = 578,340/x
  3. Step 3: Cross multiply
    396,636.75x = 578,340 × 578,340
  4. Step 4: Simplify right side
    396,636.75x = 334,477,155,600
  5. Step 5: Solve for x
    x = 334,477,155,600/396,636.75
  6. Step 6: Final answer
    x = 843,283.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.