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Finding the Third Proportional to 338,194 and 744,026

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Solution

The third proportional to 338,194 and 744,026 is: 1,636,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,194 : 744,026 = 744,026 : x
  2. Step 2: Convert to fraction form
    338,194/744,026 = 744,026/x
  3. Step 3: Cross multiply
    338,194x = 744,026 × 744,026
  4. Step 4: Simplify right side
    338,194x = 553,574,688,676
  5. Step 5: Solve for x
    x = 553,574,688,676/338,194
  6. Step 6: Final answer
    x = 1,636,855.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.