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Finding the Third Proportional to 303,798 and 654,339

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Solution

The third proportional to 303,798 and 654,339 is: 1,409,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,798 : 654,339 = 654,339 : x
  2. Step 2: Convert to fraction form
    303,798/654,339 = 654,339/x
  3. Step 3: Cross multiply
    303,798x = 654,339 × 654,339
  4. Step 4: Simplify right side
    303,798x = 428,159,526,921
  5. Step 5: Solve for x
    x = 428,159,526,921/303,798
  6. Step 6: Final answer
    x = 1,409,355.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.