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Finding the Third Proportional to 289,442 and 620,419

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Solution

The third proportional to 289,442 and 620,419 is: 1,329,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,442 : 620,419 = 620,419 : x
  2. Step 2: Convert to fraction form
    289,442/620,419 = 620,419/x
  3. Step 3: Cross multiply
    289,442x = 620,419 × 620,419
  4. Step 4: Simplify right side
    289,442x = 384,919,735,561
  5. Step 5: Solve for x
    x = 384,919,735,561/289,442
  6. Step 6: Final answer
    x = 1,329,868.28

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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.