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Finding the Third Proportional to 373,970 and 804,964

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Solution

The third proportional to 373,970 and 804,964 is: 1,732,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,970 : 804,964 = 804,964 : x
  2. Step 2: Convert to fraction form
    373,970/804,964 = 804,964/x
  3. Step 3: Cross multiply
    373,970x = 804,964 × 804,964
  4. Step 4: Simplify right side
    373,970x = 647,967,041,296
  5. Step 5: Solve for x
    x = 647,967,041,296/373,970
  6. Step 6: Final answer
    x = 1,732,671.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.