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Finding the Third Proportional to 415,209.50 and 677,992

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Solution

The third proportional to 415,209.50 and 677,992 is: 1,107,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,209.50 : 677,992 = 677,992 : x
  2. Step 2: Convert to fraction form
    415,209.50/677,992 = 677,992/x
  3. Step 3: Cross multiply
    415,209.50x = 677,992 × 677,992
  4. Step 4: Simplify right side
    415,209.50x = 459,673,152,064
  5. Step 5: Solve for x
    x = 459,673,152,064/415,209.50
  6. Step 6: Final answer
    x = 1,107,087.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.