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Finding the Third Proportional to 445,597 and 670,525

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Solution

The third proportional to 445,597 and 670,525 is: 1,008,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,597 : 670,525 = 670,525 : x
  2. Step 2: Convert to fraction form
    445,597/670,525 = 670,525/x
  3. Step 3: Cross multiply
    445,597x = 670,525 × 670,525
  4. Step 4: Simplify right side
    445,597x = 449,603,775,625
  5. Step 5: Solve for x
    x = 449,603,775,625/445,597
  6. Step 6: Final answer
    x = 1,008,991.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.