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Finding the Third Proportional to 299,287 and 646,050

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Solution

The third proportional to 299,287 and 646,050 is: 1,394,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,287 : 646,050 = 646,050 : x
  2. Step 2: Convert to fraction form
    299,287/646,050 = 646,050/x
  3. Step 3: Cross multiply
    299,287x = 646,050 × 646,050
  4. Step 4: Simplify right side
    299,287x = 417,380,602,500
  5. Step 5: Solve for x
    x = 417,380,602,500/299,287
  6. Step 6: Final answer
    x = 1,394,583.13

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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.