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Finding the Third Proportional to 284,798 and 606,406

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Solution

The third proportional to 284,798 and 606,406 is: 1,291,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,798 : 606,406 = 606,406 : x
  2. Step 2: Convert to fraction form
    284,798/606,406 = 606,406/x
  3. Step 3: Cross multiply
    284,798x = 606,406 × 606,406
  4. Step 4: Simplify right side
    284,798x = 367,728,236,836
  5. Step 5: Solve for x
    x = 367,728,236,836/284,798
  6. Step 6: Final answer
    x = 1,291,189.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.