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Finding the Third Proportional to 357,880.50 and 771,831

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Solution

The third proportional to 357,880.50 and 771,831 is: 1,664,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,880.50 : 771,831 = 771,831 : x
  2. Step 2: Convert to fraction form
    357,880.50/771,831 = 771,831/x
  3. Step 3: Cross multiply
    357,880.50x = 771,831 × 771,831
  4. Step 4: Simplify right side
    357,880.50x = 595,723,092,561
  5. Step 5: Solve for x
    x = 595,723,092,561/357,880.50
  6. Step 6: Final answer
    x = 1,664,586.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.