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Finding the Third Proportional to 301,765 and 659,582

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Solution

The third proportional to 301,765 and 659,582 is: 1,441,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,765 : 659,582 = 659,582 : x
  2. Step 2: Convert to fraction form
    301,765/659,582 = 659,582/x
  3. Step 3: Cross multiply
    301,765x = 659,582 × 659,582
  4. Step 4: Simplify right side
    301,765x = 435,048,414,724
  5. Step 5: Solve for x
    x = 435,048,414,724/301,765
  6. Step 6: Final answer
    x = 1,441,679.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.