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Finding the Third Proportional to 446,190 and 670,275

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Solution

The third proportional to 446,190 and 670,275 is: 1,006,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,190 : 670,275 = 670,275 : x
  2. Step 2: Convert to fraction form
    446,190/670,275 = 670,275/x
  3. Step 3: Cross multiply
    446,190x = 670,275 × 670,275
  4. Step 4: Simplify right side
    446,190x = 449,268,575,625
  5. Step 5: Solve for x
    x = 449,268,575,625/446,190
  6. Step 6: Final answer
    x = 1,006,899.70

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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.