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Finding the Third Proportional to 442,608 and 670,596

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Solution

The third proportional to 442,608 and 670,596 is: 1,016,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,608 : 670,596 = 670,596 : x
  2. Step 2: Convert to fraction form
    442,608/670,596 = 670,596/x
  3. Step 3: Cross multiply
    442,608x = 670,596 × 670,596
  4. Step 4: Simplify right side
    442,608x = 449,698,995,216
  5. Step 5: Solve for x
    x = 449,698,995,216/442,608
  6. Step 6: Final answer
    x = 1,016,020.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.