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Finding the Third Proportional to 346,344 and 756,204

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Solution

The third proportional to 346,344 and 756,204 is: 1,651,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,344 : 756,204 = 756,204 : x
  2. Step 2: Convert to fraction form
    346,344/756,204 = 756,204/x
  3. Step 3: Cross multiply
    346,344x = 756,204 × 756,204
  4. Step 4: Simplify right side
    346,344x = 571,844,489,616
  5. Step 5: Solve for x
    x = 571,844,489,616/346,344
  6. Step 6: Final answer
    x = 1,651,088.19

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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.