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Finding the Third Proportional to 328,052 and 705,556

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Solution

The third proportional to 328,052 and 705,556 is: 1,517,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,052 : 705,556 = 705,556 : x
  2. Step 2: Convert to fraction form
    328,052/705,556 = 705,556/x
  3. Step 3: Cross multiply
    328,052x = 705,556 × 705,556
  4. Step 4: Simplify right side
    328,052x = 497,809,269,136
  5. Step 5: Solve for x
    x = 497,809,269,136/328,052
  6. Step 6: Final answer
    x = 1,517,470.61

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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.