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Finding the Third Proportional to 263,969 and 577,825

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Solution

The third proportional to 263,969 and 577,825 is: 1,264,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,969 : 577,825 = 577,825 : x
  2. Step 2: Convert to fraction form
    263,969/577,825 = 577,825/x
  3. Step 3: Cross multiply
    263,969x = 577,825 × 577,825
  4. Step 4: Simplify right side
    263,969x = 333,881,730,625
  5. Step 5: Solve for x
    x = 333,881,730,625/263,969
  6. Step 6: Final answer
    x = 1,264,852.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.