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Finding the Third Proportional to 343,110 and 756,024

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Solution

The third proportional to 343,110 and 756,024 is: 1,665,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,110 : 756,024 = 756,024 : x
  2. Step 2: Convert to fraction form
    343,110/756,024 = 756,024/x
  3. Step 3: Cross multiply
    343,110x = 756,024 × 756,024
  4. Step 4: Simplify right side
    343,110x = 571,572,288,576
  5. Step 5: Solve for x
    x = 571,572,288,576/343,110
  6. Step 6: Final answer
    x = 1,665,857.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.