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Finding the Third Proportional to 498,194 and 793,106

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Solution

The third proportional to 498,194 and 793,106 is: 1,262,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,194 : 793,106 = 793,106 : x
  2. Step 2: Convert to fraction form
    498,194/793,106 = 793,106/x
  3. Step 3: Cross multiply
    498,194x = 793,106 × 793,106
  4. Step 4: Simplify right side
    498,194x = 629,017,127,236
  5. Step 5: Solve for x
    x = 629,017,127,236/498,194
  6. Step 6: Final answer
    x = 1,262,594.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.