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Finding the Third Proportional to 405,231.50 and 881,814.50

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Solution

The third proportional to 405,231.50 and 881,814.50 is: 1,918,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,231.50 : 881,814.50 = 881,814.50 : x
  2. Step 2: Convert to fraction form
    405,231.50/881,814.50 = 881,814.50/x
  3. Step 3: Cross multiply
    405,231.50x = 881,814.50 × 881,814.50
  4. Step 4: Simplify right side
    405,231.50x = 777,596,812,410.25
  5. Step 5: Solve for x
    x = 777,596,812,410.25/405,231.50
  6. Step 6: Final answer
    x = 1,918,895.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.