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Finding the Third Proportional to 213,298 and 466,770.50

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Solution

The third proportional to 213,298 and 466,770.50 is: 1,021,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,298 : 466,770.50 = 466,770.50 : x
  2. Step 2: Convert to fraction form
    213,298/466,770.50 = 466,770.50/x
  3. Step 3: Cross multiply
    213,298x = 466,770.50 × 466,770.50
  4. Step 4: Simplify right side
    213,298x = 217,874,699,670.25
  5. Step 5: Solve for x
    x = 217,874,699,670.25/213,298
  6. Step 6: Final answer
    x = 1,021,456.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.