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Finding the Third Proportional to 298,336.50 and 643,941

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Solution

The third proportional to 298,336.50 and 643,941 is: 1,389,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,336.50 : 643,941 = 643,941 : x
  2. Step 2: Convert to fraction form
    298,336.50/643,941 = 643,941/x
  3. Step 3: Cross multiply
    298,336.50x = 643,941 × 643,941
  4. Step 4: Simplify right side
    298,336.50x = 414,660,011,481
  5. Step 5: Solve for x
    x = 414,660,011,481/298,336.50
  6. Step 6: Final answer
    x = 1,389,907.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.