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Finding the Third Proportional to 374,246 and 804,530

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Solution

The third proportional to 374,246 and 804,530 is: 1,729,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,246 : 804,530 = 804,530 : x
  2. Step 2: Convert to fraction form
    374,246/804,530 = 804,530/x
  3. Step 3: Cross multiply
    374,246x = 804,530 × 804,530
  4. Step 4: Simplify right side
    374,246x = 647,268,520,900
  5. Step 5: Solve for x
    x = 647,268,520,900/374,246
  6. Step 6: Final answer
    x = 1,729,526.89

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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.