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Finding the Third Proportional to 300,008 and 656,059

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Solution

The third proportional to 300,008 and 656,059 is: 1,434,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,008 : 656,059 = 656,059 : x
  2. Step 2: Convert to fraction form
    300,008/656,059 = 656,059/x
  3. Step 3: Cross multiply
    300,008x = 656,059 × 656,059
  4. Step 4: Simplify right side
    300,008x = 430,413,411,481
  5. Step 5: Solve for x
    x = 430,413,411,481/300,008
  6. Step 6: Final answer
    x = 1,434,673.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.