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Finding the Third Proportional to 490,600 and 719,745

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Solution

The third proportional to 490,600 and 719,745 is: 1,055,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,600 : 719,745 = 719,745 : x
  2. Step 2: Convert to fraction form
    490,600/719,745 = 719,745/x
  3. Step 3: Cross multiply
    490,600x = 719,745 × 719,745
  4. Step 4: Simplify right side
    490,600x = 518,032,865,025
  5. Step 5: Solve for x
    x = 518,032,865,025/490,600
  6. Step 6: Final answer
    x = 1,055,916.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.