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Finding the Third Proportional to 538,353 and 835,974

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Solution

The third proportional to 538,353 and 835,974 is: 1,298,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,353 : 835,974 = 835,974 : x
  2. Step 2: Convert to fraction form
    538,353/835,974 = 835,974/x
  3. Step 3: Cross multiply
    538,353x = 835,974 × 835,974
  4. Step 4: Simplify right side
    538,353x = 698,852,528,676
  5. Step 5: Solve for x
    x = 698,852,528,676/538,353
  6. Step 6: Final answer
    x = 1,298,130.65

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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.