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Finding the Third Proportional to 361,628 and 756,304

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Solution

The third proportional to 361,628 and 756,304 is: 1,581,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,628 : 756,304 = 756,304 : x
  2. Step 2: Convert to fraction form
    361,628/756,304 = 756,304/x
  3. Step 3: Cross multiply
    361,628x = 756,304 × 756,304
  4. Step 4: Simplify right side
    361,628x = 571,995,740,416
  5. Step 5: Solve for x
    x = 571,995,740,416/361,628
  6. Step 6: Final answer
    x = 1,581,724.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.