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Finding the Third Proportional to 263,538 and 577,260

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Solution

The third proportional to 263,538 and 577,260 is: 1,264,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,538 : 577,260 = 577,260 : x
  2. Step 2: Convert to fraction form
    263,538/577,260 = 577,260/x
  3. Step 3: Cross multiply
    263,538x = 577,260 × 577,260
  4. Step 4: Simplify right side
    263,538x = 333,229,107,600
  5. Step 5: Solve for x
    x = 333,229,107,600/263,538
  6. Step 6: Final answer
    x = 1,264,444.25

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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.