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Finding the Third Proportional to 260,854 and 414,627

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Solution

The third proportional to 260,854 and 414,627 is: 659,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,854 : 414,627 = 414,627 : x
  2. Step 2: Convert to fraction form
    260,854/414,627 = 414,627/x
  3. Step 3: Cross multiply
    260,854x = 414,627 × 414,627
  4. Step 4: Simplify right side
    260,854x = 171,915,549,129
  5. Step 5: Solve for x
    x = 171,915,549,129/260,854
  6. Step 6: Final answer
    x = 659,048.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.