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Finding the Third Proportional to 360,212 and 833,824

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Solution

The third proportional to 360,212 and 833,824 is: 1,930,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,212 : 833,824 = 833,824 : x
  2. Step 2: Convert to fraction form
    360,212/833,824 = 833,824/x
  3. Step 3: Cross multiply
    360,212x = 833,824 × 833,824
  4. Step 4: Simplify right side
    360,212x = 695,262,462,976
  5. Step 5: Solve for x
    x = 695,262,462,976/360,212
  6. Step 6: Final answer
    x = 1,930,147.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.