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Finding the Third Proportional to 407,560 and 898,064

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Solution

The third proportional to 407,560 and 898,064 is: 1,978,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,560 : 898,064 = 898,064 : x
  2. Step 2: Convert to fraction form
    407,560/898,064 = 898,064/x
  3. Step 3: Cross multiply
    407,560x = 898,064 × 898,064
  4. Step 4: Simplify right side
    407,560x = 806,518,948,096
  5. Step 5: Solve for x
    x = 806,518,948,096/407,560
  6. Step 6: Final answer
    x = 1,978,896.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.