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Finding the Third Proportional to 300,974.63 and 626,860.13

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Solution

The third proportional to 300,974.63 and 626,860.13 is: 1,305,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,974.63 : 626,860.13 = 626,860.13 : x
  2. Step 2: Convert to fraction form
    300,974.63/626,860.13 = 626,860.13/x
  3. Step 3: Cross multiply
    300,974.63x = 626,860.13 × 626,860.13
  4. Step 4: Simplify right side
    300,974.63x = 392,953,616,315.02
  5. Step 5: Solve for x
    x = 392,953,616,315.02/300,974.63
  6. Step 6: Final answer
    x = 1,305,603.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.