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Finding the Third Proportional to 405,297 and 881,944.50

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Solution

The third proportional to 405,297 and 881,944.50 is: 1,919,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,297 : 881,944.50 = 881,944.50 : x
  2. Step 2: Convert to fraction form
    405,297/881,944.50 = 881,944.50/x
  3. Step 3: Cross multiply
    405,297x = 881,944.50 × 881,944.50
  4. Step 4: Simplify right side
    405,297x = 777,826,101,080.25
  5. Step 5: Solve for x
    x = 777,826,101,080.25/405,297
  6. Step 6: Final answer
    x = 1,919,150.90

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