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Finding the Third Proportional to 405,898.50 and 880,968

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Solution

The third proportional to 405,898.50 and 880,968 is: 1,912,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,898.50 : 880,968 = 880,968 : x
  2. Step 2: Convert to fraction form
    405,898.50/880,968 = 880,968/x
  3. Step 3: Cross multiply
    405,898.50x = 880,968 × 880,968
  4. Step 4: Simplify right side
    405,898.50x = 776,104,617,024
  5. Step 5: Solve for x
    x = 776,104,617,024/405,898.50
  6. Step 6: Final answer
    x = 1,912,065.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.