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Finding the Third Proportional to 536,307 and 853,668

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Solution

The third proportional to 536,307 and 853,668 is: 1,358,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,307 : 853,668 = 853,668 : x
  2. Step 2: Convert to fraction form
    536,307/853,668 = 853,668/x
  3. Step 3: Cross multiply
    536,307x = 853,668 × 853,668
  4. Step 4: Simplify right side
    536,307x = 728,749,054,224
  5. Step 5: Solve for x
    x = 728,749,054,224/536,307
  6. Step 6: Final answer
    x = 1,358,828.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.