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Finding the Third Proportional to 538,441 and 833,623

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Solution

The third proportional to 538,441 and 833,623 is: 1,290,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,441 : 833,623 = 833,623 : x
  2. Step 2: Convert to fraction form
    538,441/833,623 = 833,623/x
  3. Step 3: Cross multiply
    538,441x = 833,623 × 833,623
  4. Step 4: Simplify right side
    538,441x = 694,927,306,129
  5. Step 5: Solve for x
    x = 694,927,306,129/538,441
  6. Step 6: Final answer
    x = 1,290,628.51

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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.