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Finding the Third Proportional to 303,759 and 703,209

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Solution

The third proportional to 303,759 and 703,209 is: 1,627,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,759 : 703,209 = 703,209 : x
  2. Step 2: Convert to fraction form
    303,759/703,209 = 703,209/x
  3. Step 3: Cross multiply
    303,759x = 703,209 × 703,209
  4. Step 4: Simplify right side
    303,759x = 494,502,897,681
  5. Step 5: Solve for x
    x = 494,502,897,681/303,759
  6. Step 6: Final answer
    x = 1,627,944.84

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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.