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Finding the Third Proportional to 370,938 and 794,351

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Solution

The third proportional to 370,938 and 794,351 is: 1,701,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,938 : 794,351 = 794,351 : x
  2. Step 2: Convert to fraction form
    370,938/794,351 = 794,351/x
  3. Step 3: Cross multiply
    370,938x = 794,351 × 794,351
  4. Step 4: Simplify right side
    370,938x = 630,993,511,201
  5. Step 5: Solve for x
    x = 630,993,511,201/370,938
  6. Step 6: Final answer
    x = 1,701,075.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.