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Finding the Third Proportional to 374,307 and 804,585

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Solution

The third proportional to 374,307 and 804,585 is: 1,729,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,307 : 804,585 = 804,585 : x
  2. Step 2: Convert to fraction form
    374,307/804,585 = 804,585/x
  3. Step 3: Cross multiply
    374,307x = 804,585 × 804,585
  4. Step 4: Simplify right side
    374,307x = 647,357,022,225
  5. Step 5: Solve for x
    x = 647,357,022,225/374,307
  6. Step 6: Final answer
    x = 1,729,481.47

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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.