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Finding the Third Proportional to 349,977 and 767,748

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Solution

The third proportional to 349,977 and 767,748 is: 1,684,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,977 : 767,748 = 767,748 : x
  2. Step 2: Convert to fraction form
    349,977/767,748 = 767,748/x
  3. Step 3: Cross multiply
    349,977x = 767,748 × 767,748
  4. Step 4: Simplify right side
    349,977x = 589,436,991,504
  5. Step 5: Solve for x
    x = 589,436,991,504/349,977
  6. Step 6: Final answer
    x = 1,684,216.37

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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.