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Finding the Third Proportional to 303,778 and 703,271

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Solution

The third proportional to 303,778 and 703,271 is: 1,628,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,778 : 703,271 = 703,271 : x
  2. Step 2: Convert to fraction form
    303,778/703,271 = 703,271/x
  3. Step 3: Cross multiply
    303,778x = 703,271 × 703,271
  4. Step 4: Simplify right side
    303,778x = 494,590,099,441
  5. Step 5: Solve for x
    x = 494,590,099,441/303,778
  6. Step 6: Final answer
    x = 1,628,130.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.