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Finding the Third Proportional to 525,842 and 858,567

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Solution

The third proportional to 525,842 and 858,567 is: 1,401,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,842 : 858,567 = 858,567 : x
  2. Step 2: Convert to fraction form
    525,842/858,567 = 858,567/x
  3. Step 3: Cross multiply
    525,842x = 858,567 × 858,567
  4. Step 4: Simplify right side
    525,842x = 737,137,293,489
  5. Step 5: Solve for x
    x = 737,137,293,489/525,842
  6. Step 6: Final answer
    x = 1,401,822.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.