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Finding the Third Proportional to 362,558 and 777,577

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Solution

The third proportional to 362,558 and 777,577 is: 1,667,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,558 : 777,577 = 777,577 : x
  2. Step 2: Convert to fraction form
    362,558/777,577 = 777,577/x
  3. Step 3: Cross multiply
    362,558x = 777,577 × 777,577
  4. Step 4: Simplify right side
    362,558x = 604,625,990,929
  5. Step 5: Solve for x
    x = 604,625,990,929/362,558
  6. Step 6: Final answer
    x = 1,667,666.94

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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.