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Finding the Third Proportional to 457,828.88 and 673,506.56

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Solution

The third proportional to 457,828.88 and 673,506.56 is: 990,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,828.88 : 673,506.56 = 673,506.56 : x
  2. Step 2: Convert to fraction form
    457,828.88/673,506.56 = 673,506.56/x
  3. Step 3: Cross multiply
    457,828.88x = 673,506.56 × 673,506.56
  4. Step 4: Simplify right side
    457,828.88x = 453,611,089,730.57
  5. Step 5: Solve for x
    x = 453,611,089,730.57/457,828.88
  6. Step 6: Final answer
    x = 990,787.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.