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Finding the Third Proportional to 414,795 and 659,553

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Solution

The third proportional to 414,795 and 659,553 is: 1,048,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,795 : 659,553 = 659,553 : x
  2. Step 2: Convert to fraction form
    414,795/659,553 = 659,553/x
  3. Step 3: Cross multiply
    414,795x = 659,553 × 659,553
  4. Step 4: Simplify right side
    414,795x = 435,010,159,809
  5. Step 5: Solve for x
    x = 435,010,159,809/414,795
  6. Step 6: Final answer
    x = 1,048,735.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.