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Finding the Third Proportional to 687,088 and 967,512

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Solution

The third proportional to 687,088 and 967,512 is: 1,362,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,088 : 967,512 = 967,512 : x
  2. Step 2: Convert to fraction form
    687,088/967,512 = 967,512/x
  3. Step 3: Cross multiply
    687,088x = 967,512 × 967,512
  4. Step 4: Simplify right side
    687,088x = 936,079,470,144
  5. Step 5: Solve for x
    x = 936,079,470,144/687,088
  6. Step 6: Final answer
    x = 1,362,386.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.