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Finding the Third Proportional to 338,653.75 and 740,275

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Solution

The third proportional to 338,653.75 and 740,275 is: 1,618,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,653.75 : 740,275 = 740,275 : x
  2. Step 2: Convert to fraction form
    338,653.75/740,275 = 740,275/x
  3. Step 3: Cross multiply
    338,653.75x = 740,275 × 740,275
  4. Step 4: Simplify right side
    338,653.75x = 548,007,075,625
  5. Step 5: Solve for x
    x = 548,007,075,625/338,653.75
  6. Step 6: Final answer
    x = 1,618,192.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.