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Finding the Third Proportional to 302,360 and 659,980

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Solution

The third proportional to 302,360 and 659,980 is: 1,440,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,360 : 659,980 = 659,980 : x
  2. Step 2: Convert to fraction form
    302,360/659,980 = 659,980/x
  3. Step 3: Cross multiply
    302,360x = 659,980 × 659,980
  4. Step 4: Simplify right side
    302,360x = 435,573,600,400
  5. Step 5: Solve for x
    x = 435,573,600,400/302,360
  6. Step 6: Final answer
    x = 1,440,579.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.