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Finding the Third Proportional to 288,280 and 620,845

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Solution

The third proportional to 288,280 and 620,845 is: 1,337,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,280 : 620,845 = 620,845 : x
  2. Step 2: Convert to fraction form
    288,280/620,845 = 620,845/x
  3. Step 3: Cross multiply
    288,280x = 620,845 × 620,845
  4. Step 4: Simplify right side
    288,280x = 385,448,514,025
  5. Step 5: Solve for x
    x = 385,448,514,025/288,280
  6. Step 6: Final answer
    x = 1,337,062.97

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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.