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Finding the Third Proportional to 342,768 and 741,024

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Solution

The third proportional to 342,768 and 741,024 is: 1,602,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,768 : 741,024 = 741,024 : x
  2. Step 2: Convert to fraction form
    342,768/741,024 = 741,024/x
  3. Step 3: Cross multiply
    342,768x = 741,024 × 741,024
  4. Step 4: Simplify right side
    342,768x = 549,116,568,576
  5. Step 5: Solve for x
    x = 549,116,568,576/342,768
  6. Step 6: Final answer
    x = 1,602,006.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.