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Finding the Third Proportional to 340,240 and 741,714

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Solution

The third proportional to 340,240 and 741,714 is: 1,616,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,240 : 741,714 = 741,714 : x
  2. Step 2: Convert to fraction form
    340,240/741,714 = 741,714/x
  3. Step 3: Cross multiply
    340,240x = 741,714 × 741,714
  4. Step 4: Simplify right side
    340,240x = 550,139,657,796
  5. Step 5: Solve for x
    x = 550,139,657,796/340,240
  6. Step 6: Final answer
    x = 1,616,916.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.