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Finding the Third Proportional to 446,432.50 and 673,674

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Solution

The third proportional to 446,432.50 and 673,674 is: 1,016,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,432.50 : 673,674 = 673,674 : x
  2. Step 2: Convert to fraction form
    446,432.50/673,674 = 673,674/x
  3. Step 3: Cross multiply
    446,432.50x = 673,674 × 673,674
  4. Step 4: Simplify right side
    446,432.50x = 453,836,658,276
  5. Step 5: Solve for x
    x = 453,836,658,276/446,432.50
  6. Step 6: Final answer
    x = 1,016,585.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.