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Finding the Third Proportional to 415,309.50 and 611,295.75

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Solution

The third proportional to 415,309.50 and 611,295.75 is: 899,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,309.50 : 611,295.75 = 611,295.75 : x
  2. Step 2: Convert to fraction form
    415,309.50/611,295.75 = 611,295.75/x
  3. Step 3: Cross multiply
    415,309.50x = 611,295.75 × 611,295.75
  4. Step 4: Simplify right side
    415,309.50x = 373,682,493,968.06
  5. Step 5: Solve for x
    x = 373,682,493,968.06/415,309.50
  6. Step 6: Final answer
    x = 899,768.71

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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.