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Finding the Third Proportional to 299,436 and 646,843.50

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Solution

The third proportional to 299,436 and 646,843.50 is: 1,397,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436 : 646,843.50 = 646,843.50 : x
  2. Step 2: Convert to fraction form
    299,436/646,843.50 = 646,843.50/x
  3. Step 3: Cross multiply
    299,436x = 646,843.50 × 646,843.50
  4. Step 4: Simplify right side
    299,436x = 418,406,513,492.25
  5. Step 5: Solve for x
    x = 418,406,513,492.25/299,436
  6. Step 6: Final answer
    x = 1,397,315.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.