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Finding the Third Proportional to 538,216 and 833,371

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Solution

The third proportional to 538,216 and 833,371 is: 1,290,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,216 : 833,371 = 833,371 : x
  2. Step 2: Convert to fraction form
    538,216/833,371 = 833,371/x
  3. Step 3: Cross multiply
    538,216x = 833,371 × 833,371
  4. Step 4: Simplify right side
    538,216x = 694,507,223,641
  5. Step 5: Solve for x
    x = 694,507,223,641/538,216
  6. Step 6: Final answer
    x = 1,290,387.55

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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.