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Finding the Third Proportional to 295,933 and 662,138

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Solution

The third proportional to 295,933 and 662,138 is: 1,481,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,933 : 662,138 = 662,138 : x
  2. Step 2: Convert to fraction form
    295,933/662,138 = 662,138/x
  3. Step 3: Cross multiply
    295,933x = 662,138 × 662,138
  4. Step 4: Simplify right side
    295,933x = 438,426,731,044
  5. Step 5: Solve for x
    x = 438,426,731,044/295,933
  6. Step 6: Final answer
    x = 1,481,506.73

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.