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Finding the Third Proportional to 396,817 and 598,801.50

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Solution

The third proportional to 396,817 and 598,801.50 is: 903,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,817 : 598,801.50 = 598,801.50 : x
  2. Step 2: Convert to fraction form
    396,817/598,801.50 = 598,801.50/x
  3. Step 3: Cross multiply
    396,817x = 598,801.50 × 598,801.50
  4. Step 4: Simplify right side
    396,817x = 358,563,236,402.25
  5. Step 5: Solve for x
    x = 358,563,236,402.25/396,817
  6. Step 6: Final answer
    x = 903,598.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.