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Finding the Third Proportional to 336,666 and 720,623

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Solution

The third proportional to 336,666 and 720,623 is: 1,542,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,666 : 720,623 = 720,623 : x
  2. Step 2: Convert to fraction form
    336,666/720,623 = 720,623/x
  3. Step 3: Cross multiply
    336,666x = 720,623 × 720,623
  4. Step 4: Simplify right side
    336,666x = 519,297,508,129
  5. Step 5: Solve for x
    x = 519,297,508,129/336,666
  6. Step 6: Final answer
    x = 1,542,470.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.