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Finding the Third Proportional to 446,404 and 670,624

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Solution

The third proportional to 446,404 and 670,624 is: 1,007,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,404 : 670,624 = 670,624 : x
  2. Step 2: Convert to fraction form
    446,404/670,624 = 670,624/x
  3. Step 3: Cross multiply
    446,404x = 670,624 × 670,624
  4. Step 4: Simplify right side
    446,404x = 449,736,549,376
  5. Step 5: Solve for x
    x = 449,736,549,376/446,404
  6. Step 6: Final answer
    x = 1,007,465.32

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