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Finding the Third Proportional to 349,621 and 765,682

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Solution

The third proportional to 349,621 and 765,682 is: 1,676,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,621 : 765,682 = 765,682 : x
  2. Step 2: Convert to fraction form
    349,621/765,682 = 765,682/x
  3. Step 3: Cross multiply
    349,621x = 765,682 × 765,682
  4. Step 4: Simplify right side
    349,621x = 586,268,925,124
  5. Step 5: Solve for x
    x = 586,268,925,124/349,621
  6. Step 6: Final answer
    x = 1,676,869.88

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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.