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Finding the Third Proportional to 348,519 and 762,647

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Solution

The third proportional to 348,519 and 762,647 is: 1,668,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,519 : 762,647 = 762,647 : x
  2. Step 2: Convert to fraction form
    348,519/762,647 = 762,647/x
  3. Step 3: Cross multiply
    348,519x = 762,647 × 762,647
  4. Step 4: Simplify right side
    348,519x = 581,630,446,609
  5. Step 5: Solve for x
    x = 581,630,446,609/348,519
  6. Step 6: Final answer
    x = 1,668,862.95

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Why These Related Problems?

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