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Finding the Third Proportional to 628,148 and 945,676

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Solution

The third proportional to 628,148 and 945,676 is: 1,423,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,148 : 945,676 = 945,676 : x
  2. Step 2: Convert to fraction form
    628,148/945,676 = 945,676/x
  3. Step 3: Cross multiply
    628,148x = 945,676 × 945,676
  4. Step 4: Simplify right side
    628,148x = 894,303,096,976
  5. Step 5: Solve for x
    x = 894,303,096,976/628,148
  6. Step 6: Final answer
    x = 1,423,713.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.