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Finding the Third Proportional to 340,930 and 741,348

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Solution

The third proportional to 340,930 and 741,348 is: 1,612,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,930 : 741,348 = 741,348 : x
  2. Step 2: Convert to fraction form
    340,930/741,348 = 741,348/x
  3. Step 3: Cross multiply
    340,930x = 741,348 × 741,348
  4. Step 4: Simplify right side
    340,930x = 549,596,857,104
  5. Step 5: Solve for x
    x = 549,596,857,104/340,930
  6. Step 6: Final answer
    x = 1,612,051.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.