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Finding the Third Proportional to 306,798 and 669,378

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Solution

The third proportional to 306,798 and 669,378 is: 1,460,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,798 : 669,378 = 669,378 : x
  2. Step 2: Convert to fraction form
    306,798/669,378 = 669,378/x
  3. Step 3: Cross multiply
    306,798x = 669,378 × 669,378
  4. Step 4: Simplify right side
    306,798x = 448,066,906,884
  5. Step 5: Solve for x
    x = 448,066,906,884/306,798
  6. Step 6: Final answer
    x = 1,460,462.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.