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Finding the Third Proportional to 293,437.69 and 618,396.19

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Solution

The third proportional to 293,437.69 and 618,396.19 is: 1,303,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,437.69 : 618,396.19 = 618,396.19 : x
  2. Step 2: Convert to fraction form
    293,437.69/618,396.19 = 618,396.19/x
  3. Step 3: Cross multiply
    293,437.69x = 618,396.19 × 618,396.19
  4. Step 4: Simplify right side
    293,437.69x = 382,413,844,714.54
  5. Step 5: Solve for x
    x = 382,413,844,714.54/293,437.69
  6. Step 6: Final answer
    x = 1,303,219.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.