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Finding the Third Proportional to 445,624 and 670,572.50

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Solution

The third proportional to 445,624 and 670,572.50 is: 1,009,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,624 : 670,572.50 = 670,572.50 : x
  2. Step 2: Convert to fraction form
    445,624/670,572.50 = 670,572.50/x
  3. Step 3: Cross multiply
    445,624x = 670,572.50 × 670,572.50
  4. Step 4: Simplify right side
    445,624x = 449,667,477,756.25
  5. Step 5: Solve for x
    x = 449,667,477,756.25/445,624
  6. Step 6: Final answer
    x = 1,009,073.74

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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.