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Finding the Third Proportional to 340,907 and 741,502

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Solution

The third proportional to 340,907 and 741,502 is: 1,612,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,907 : 741,502 = 741,502 : x
  2. Step 2: Convert to fraction form
    340,907/741,502 = 741,502/x
  3. Step 3: Cross multiply
    340,907x = 741,502 × 741,502
  4. Step 4: Simplify right side
    340,907x = 549,825,216,004
  5. Step 5: Solve for x
    x = 549,825,216,004/340,907
  6. Step 6: Final answer
    x = 1,612,830.53

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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.