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Finding the Third Proportional to 290,728 and 392,676

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Solution

The third proportional to 290,728 and 392,676 is: 530,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,728 : 392,676 = 392,676 : x
  2. Step 2: Convert to fraction form
    290,728/392,676 = 392,676/x
  3. Step 3: Cross multiply
    290,728x = 392,676 × 392,676
  4. Step 4: Simplify right side
    290,728x = 154,194,440,976
  5. Step 5: Solve for x
    x = 154,194,440,976/290,728
  6. Step 6: Final answer
    x = 530,373.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.