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Finding the Third Proportional to 340,116 and 741,468

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Solution

The third proportional to 340,116 and 741,468 is: 1,616,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,116 : 741,468 = 741,468 : x
  2. Step 2: Convert to fraction form
    340,116/741,468 = 741,468/x
  3. Step 3: Cross multiply
    340,116x = 741,468 × 741,468
  4. Step 4: Simplify right side
    340,116x = 549,774,795,024
  5. Step 5: Solve for x
    x = 549,774,795,024/340,116
  6. Step 6: Final answer
    x = 1,616,433.20

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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.