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Finding the Third Proportional to 299,482.31 and 654,231.94

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Solution

The third proportional to 299,482.31 and 654,231.94 is: 1,429,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482.31 : 654,231.94 = 654,231.94 : x
  2. Step 2: Convert to fraction form
    299,482.31/654,231.94 = 654,231.94/x
  3. Step 3: Cross multiply
    299,482.31x = 654,231.94 × 654,231.94
  4. Step 4: Simplify right side
    299,482.31x = 428,019,428,045.00
  5. Step 5: Solve for x
    x = 428,019,428,045.00/299,482.31
  6. Step 6: Final answer
    x = 1,429,197.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.