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Finding the Third Proportional to 464,408.44 and 653,988.94

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Solution

The third proportional to 464,408.44 and 653,988.94 is: 920,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,408.44 : 653,988.94 = 653,988.94 : x
  2. Step 2: Convert to fraction form
    464,408.44/653,988.94 = 653,988.94/x
  3. Step 3: Cross multiply
    464,408.44x = 653,988.94 × 653,988.94
  4. Step 4: Simplify right side
    464,408.44x = 427,701,530,372.38
  5. Step 5: Solve for x
    x = 427,701,530,372.38/464,408.44
  6. Step 6: Final answer
    x = 920,959.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.