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Finding the Third Proportional to 340,033 and 741,116

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Solution

The third proportional to 340,033 and 741,116 is: 1,615,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,033 : 741,116 = 741,116 : x
  2. Step 2: Convert to fraction form
    340,033/741,116 = 741,116/x
  3. Step 3: Cross multiply
    340,033x = 741,116 × 741,116
  4. Step 4: Simplify right side
    340,033x = 549,252,925,456
  5. Step 5: Solve for x
    x = 549,252,925,456/340,033
  6. Step 6: Final answer
    x = 1,615,293.00

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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.