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Finding the Third Proportional to 303,250 and 474,779

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Solution

The third proportional to 303,250 and 474,779 is: 743,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,250 : 474,779 = 474,779 : x
  2. Step 2: Convert to fraction form
    303,250/474,779 = 474,779/x
  3. Step 3: Cross multiply
    303,250x = 474,779 × 474,779
  4. Step 4: Simplify right side
    303,250x = 225,415,098,841
  5. Step 5: Solve for x
    x = 225,415,098,841/303,250
  6. Step 6: Final answer
    x = 743,330.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.