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Finding the Third Proportional to 337,686 and 720,570

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Solution

The third proportional to 337,686 and 720,570 is: 1,537,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,686 : 720,570 = 720,570 : x
  2. Step 2: Convert to fraction form
    337,686/720,570 = 720,570/x
  3. Step 3: Cross multiply
    337,686x = 720,570 × 720,570
  4. Step 4: Simplify right side
    337,686x = 519,221,124,900
  5. Step 5: Solve for x
    x = 519,221,124,900/337,686
  6. Step 6: Final answer
    x = 1,537,585.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.