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Finding the Third Proportional to 303,170 and 654,596

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Solution

The third proportional to 303,170 and 654,596 is: 1,413,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,170 : 654,596 = 654,596 : x
  2. Step 2: Convert to fraction form
    303,170/654,596 = 654,596/x
  3. Step 3: Cross multiply
    303,170x = 654,596 × 654,596
  4. Step 4: Simplify right side
    303,170x = 428,495,923,216
  5. Step 5: Solve for x
    x = 428,495,923,216/303,170
  6. Step 6: Final answer
    x = 1,413,384.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.