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Finding the Third Proportional to 338,954.63 and 464,784.75

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Solution

The third proportional to 338,954.63 and 464,784.75 is: 637,326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,954.63 : 464,784.75 = 464,784.75 : x
  2. Step 2: Convert to fraction form
    338,954.63/464,784.75 = 464,784.75/x
  3. Step 3: Cross multiply
    338,954.63x = 464,784.75 × 464,784.75
  4. Step 4: Simplify right side
    338,954.63x = 216,024,863,832.56
  5. Step 5: Solve for x
    x = 216,024,863,832.56/338,954.63
  6. Step 6: Final answer
    x = 637,326.79

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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.