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Finding the Third Proportional to 303,624 and 659,748

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Solution

The third proportional to 303,624 and 659,748 is: 1,433,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,624 : 659,748 = 659,748 : x
  2. Step 2: Convert to fraction form
    303,624/659,748 = 659,748/x
  3. Step 3: Cross multiply
    303,624x = 659,748 × 659,748
  4. Step 4: Simplify right side
    303,624x = 435,267,423,504
  5. Step 5: Solve for x
    x = 435,267,423,504/303,624
  6. Step 6: Final answer
    x = 1,433,573.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.