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Finding the Third Proportional to 303,739 and 703,160

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Solution

The third proportional to 303,739 and 703,160 is: 1,627,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,739 : 703,160 = 703,160 : x
  2. Step 2: Convert to fraction form
    303,739/703,160 = 703,160/x
  3. Step 3: Cross multiply
    303,739x = 703,160 × 703,160
  4. Step 4: Simplify right side
    303,739x = 494,433,985,600
  5. Step 5: Solve for x
    x = 494,433,985,600/303,739
  6. Step 6: Final answer
    x = 1,627,825.16

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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.