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Finding the Third Proportional to 299,968.88 and 708,093.38

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Solution

The third proportional to 299,968.88 and 708,093.38 is: 1,671,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,968.88 : 708,093.38 = 708,093.38 : x
  2. Step 2: Convert to fraction form
    299,968.88/708,093.38 = 708,093.38/x
  3. Step 3: Cross multiply
    299,968.88x = 708,093.38 × 708,093.38
  4. Step 4: Simplify right side
    299,968.88x = 501,396,227,718.89
  5. Step 5: Solve for x
    x = 501,396,227,718.89/299,968.88
  6. Step 6: Final answer
    x = 1,671,494.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.