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Finding the Third Proportional to 306,541.13 and 478,438.31

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Solution

The third proportional to 306,541.13 and 478,438.31 is: 746,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,541.13 : 478,438.31 = 478,438.31 : x
  2. Step 2: Convert to fraction form
    306,541.13/478,438.31 = 478,438.31/x
  3. Step 3: Cross multiply
    306,541.13x = 478,438.31 × 478,438.31
  4. Step 4: Simplify right side
    306,541.13x = 228,903,218,867.85
  5. Step 5: Solve for x
    x = 228,903,218,867.85/306,541.13
  6. Step 6: Final answer
    x = 746,729.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.