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Finding the Third Proportional to 496,944 and 662,088

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Solution

The third proportional to 496,944 and 662,088 is: 882,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,944 : 662,088 = 662,088 : x
  2. Step 2: Convert to fraction form
    496,944/662,088 = 662,088/x
  3. Step 3: Cross multiply
    496,944x = 662,088 × 662,088
  4. Step 4: Simplify right side
    496,944x = 438,360,519,744
  5. Step 5: Solve for x
    x = 438,360,519,744/496,944
  6. Step 6: Final answer
    x = 882,112.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.