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Finding the Third Proportional to 343,101 and 756,006

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Solution

The third proportional to 343,101 and 756,006 is: 1,665,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,101 : 756,006 = 756,006 : x
  2. Step 2: Convert to fraction form
    343,101/756,006 = 756,006/x
  3. Step 3: Cross multiply
    343,101x = 756,006 × 756,006
  4. Step 4: Simplify right side
    343,101x = 571,545,072,036
  5. Step 5: Solve for x
    x = 571,545,072,036/343,101
  6. Step 6: Final answer
    x = 1,665,821.64

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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.