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Finding the Third Proportional to 457,846.25 and 673,528.75

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Solution

The third proportional to 457,846.25 and 673,528.75 is: 990,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,846.25 : 673,528.75 = 673,528.75 : x
  2. Step 2: Convert to fraction form
    457,846.25/673,528.75 = 673,528.75/x
  3. Step 3: Cross multiply
    457,846.25x = 673,528.75 × 673,528.75
  4. Step 4: Simplify right side
    457,846.25x = 453,640,977,076.56
  5. Step 5: Solve for x
    x = 453,640,977,076.56/457,846.25
  6. Step 6: Final answer
    x = 990,815.10

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