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Finding the Third Proportional to 534,464 and 859,620

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Solution

The third proportional to 534,464 and 859,620 is: 1,382,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,464 : 859,620 = 859,620 : x
  2. Step 2: Convert to fraction form
    534,464/859,620 = 859,620/x
  3. Step 3: Cross multiply
    534,464x = 859,620 × 859,620
  4. Step 4: Simplify right side
    534,464x = 738,946,544,400
  5. Step 5: Solve for x
    x = 738,946,544,400/534,464
  6. Step 6: Final answer
    x = 1,382,593.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.