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Finding the Third Proportional to 366,728 and 756,292

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Solution

The third proportional to 366,728 and 756,292 is: 1,559,677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,728 : 756,292 = 756,292 : x
  2. Step 2: Convert to fraction form
    366,728/756,292 = 756,292/x
  3. Step 3: Cross multiply
    366,728x = 756,292 × 756,292
  4. Step 4: Simplify right side
    366,728x = 571,977,589,264
  5. Step 5: Solve for x
    x = 571,977,589,264/366,728
  6. Step 6: Final answer
    x = 1,559,677.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.