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Finding the Third Proportional to 366,983 and 803,902

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Solution

The third proportional to 366,983 and 803,902 is: 1,761,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,983 : 803,902 = 803,902 : x
  2. Step 2: Convert to fraction form
    366,983/803,902 = 803,902/x
  3. Step 3: Cross multiply
    366,983x = 803,902 × 803,902
  4. Step 4: Simplify right side
    366,983x = 646,258,425,604
  5. Step 5: Solve for x
    x = 646,258,425,604/366,983
  6. Step 6: Final answer
    x = 1,761,003.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.