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Finding the Third Proportional to 445,801.50 and 677,217

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Solution

The third proportional to 445,801.50 and 677,217 is: 1,028,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,801.50 : 677,217 = 677,217 : x
  2. Step 2: Convert to fraction form
    445,801.50/677,217 = 677,217/x
  3. Step 3: Cross multiply
    445,801.50x = 677,217 × 677,217
  4. Step 4: Simplify right side
    445,801.50x = 458,622,865,089
  5. Step 5: Solve for x
    x = 458,622,865,089/445,801.50
  6. Step 6: Final answer
    x = 1,028,760.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.