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Finding the Third Proportional to 501,072 and 774,936

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Solution

The third proportional to 501,072 and 774,936 is: 1,198,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,072 : 774,936 = 774,936 : x
  2. Step 2: Convert to fraction form
    501,072/774,936 = 774,936/x
  3. Step 3: Cross multiply
    501,072x = 774,936 × 774,936
  4. Step 4: Simplify right side
    501,072x = 600,525,804,096
  5. Step 5: Solve for x
    x = 600,525,804,096/501,072
  6. Step 6: Final answer
    x = 1,198,482.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.