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Finding the Third Proportional to 328,648 and 707,112

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Solution

The third proportional to 328,648 and 707,112 is: 1,521,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,648 : 707,112 = 707,112 : x
  2. Step 2: Convert to fraction form
    328,648/707,112 = 707,112/x
  3. Step 3: Cross multiply
    328,648x = 707,112 × 707,112
  4. Step 4: Simplify right side
    328,648x = 500,007,380,544
  5. Step 5: Solve for x
    x = 500,007,380,544/328,648
  6. Step 6: Final answer
    x = 1,521,407.04

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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.