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Finding the Third Proportional to 364,194 and 794,808

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Solution

The third proportional to 364,194 and 794,808 is: 1,734,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,194 : 794,808 = 794,808 : x
  2. Step 2: Convert to fraction form
    364,194/794,808 = 794,808/x
  3. Step 3: Cross multiply
    364,194x = 794,808 × 794,808
  4. Step 4: Simplify right side
    364,194x = 631,719,756,864
  5. Step 5: Solve for x
    x = 631,719,756,864/364,194
  6. Step 6: Final answer
    x = 1,734,569.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.