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Finding the Third Proportional to 338,534 and 525,879

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Solution

The third proportional to 338,534 and 525,879 is: 816,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,534 : 525,879 = 525,879 : x
  2. Step 2: Convert to fraction form
    338,534/525,879 = 525,879/x
  3. Step 3: Cross multiply
    338,534x = 525,879 × 525,879
  4. Step 4: Simplify right side
    338,534x = 276,548,722,641
  5. Step 5: Solve for x
    x = 276,548,722,641/338,534
  6. Step 6: Final answer
    x = 816,900.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.