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Finding the Third Proportional to 303,302 and 467,602

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Solution

The third proportional to 303,302 and 467,602 is: 720,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,302 : 467,602 = 467,602 : x
  2. Step 2: Convert to fraction form
    303,302/467,602 = 467,602/x
  3. Step 3: Cross multiply
    303,302x = 467,602 × 467,602
  4. Step 4: Simplify right side
    303,302x = 218,651,630,404
  5. Step 5: Solve for x
    x = 218,651,630,404/303,302
  6. Step 6: Final answer
    x = 720,904.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.