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Finding the Third Proportional to 341,008 and 741,968

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Solution

The third proportional to 341,008 and 741,968 is: 1,614,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,008 : 741,968 = 741,968 : x
  2. Step 2: Convert to fraction form
    341,008/741,968 = 741,968/x
  3. Step 3: Cross multiply
    341,008x = 741,968 × 741,968
  4. Step 4: Simplify right side
    341,008x = 550,516,513,024
  5. Step 5: Solve for x
    x = 550,516,513,024/341,008
  6. Step 6: Final answer
    x = 1,614,380.05

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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.