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Finding the Third Proportional to 538,214 and 833,368

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Solution

The third proportional to 538,214 and 833,368 is: 1,290,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,214 : 833,368 = 833,368 : x
  2. Step 2: Convert to fraction form
    538,214/833,368 = 833,368/x
  3. Step 3: Cross multiply
    538,214x = 833,368 × 833,368
  4. Step 4: Simplify right side
    538,214x = 694,502,223,424
  5. Step 5: Solve for x
    x = 694,502,223,424/538,214
  6. Step 6: Final answer
    x = 1,290,383.05

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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.