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Finding the Third Proportional to 338,943.23 and 464,765.98

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Solution

The third proportional to 338,943.23 and 464,765.98 is: 637,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,943.23 : 464,765.98 = 464,765.98 : x
  2. Step 2: Convert to fraction form
    338,943.23/464,765.98 = 464,765.98/x
  3. Step 3: Cross multiply
    338,943.23x = 464,765.98 × 464,765.98
  4. Step 4: Simplify right side
    338,943.23x = 216,007,412,970.09
  5. Step 5: Solve for x
    x = 216,007,412,970.09/338,943.23
  6. Step 6: Final answer
    x = 637,296.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.