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Finding the Third Proportional to 325,466,123.50 and 491,225,905.50

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Solution

The third proportional to 325,466,123.50 and 491,225,905.50 is: 741,407,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466,123.50 : 491,225,905.50 = 491,225,905.50 : x
  2. Step 2: Convert to fraction form
    325,466,123.50/491,225,905.50 = 491,225,905.50/x
  3. Step 3: Cross multiply
    325,466,123.50x = 491,225,905.50 × 491,225,905.50
  4. Step 4: Simplify right side
    325,466,123.50x = 241,302,890,234,294,944
  5. Step 5: Solve for x
    x = 241,302,890,234,294,944/325,466,123.50
  6. Step 6: Final answer
    x = 741,407,086.06

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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.