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Finding the Third Proportional to 584,665.31 and 874,613.81

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Solution

The third proportional to 584,665.31 and 874,613.81 is: 1,308,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,665.31 : 874,613.81 = 874,613.81 : x
  2. Step 2: Convert to fraction form
    584,665.31/874,613.81 = 874,613.81/x
  3. Step 3: Cross multiply
    584,665.31x = 874,613.81 × 874,613.81
  4. Step 4: Simplify right side
    584,665.31x = 764,949,321,015.79
  5. Step 5: Solve for x
    x = 764,949,321,015.79/584,665.31
  6. Step 6: Final answer
    x = 1,308,354.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.