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Finding the Third Proportional to 373,007 and 804,982

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Solution

The third proportional to 373,007 and 804,982 is: 1,737,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,007 : 804,982 = 804,982 : x
  2. Step 2: Convert to fraction form
    373,007/804,982 = 804,982/x
  3. Step 3: Cross multiply
    373,007x = 804,982 × 804,982
  4. Step 4: Simplify right side
    373,007x = 647,996,020,324
  5. Step 5: Solve for x
    x = 647,996,020,324/373,007
  6. Step 6: Final answer
    x = 1,737,222.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.