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Finding the Third Proportional to 396,819 and 598,804.50

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Solution

The third proportional to 396,819 and 598,804.50 is: 903,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,819 : 598,804.50 = 598,804.50 : x
  2. Step 2: Convert to fraction form
    396,819/598,804.50 = 598,804.50/x
  3. Step 3: Cross multiply
    396,819x = 598,804.50 × 598,804.50
  4. Step 4: Simplify right side
    396,819x = 358,566,829,220.25
  5. Step 5: Solve for x
    x = 358,566,829,220.25/396,819
  6. Step 6: Final answer
    x = 903,602.98

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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.