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Finding the Third Proportional to 320,554 and 685,578

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Solution

The third proportional to 320,554 and 685,578 is: 1,466,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,554 : 685,578 = 685,578 : x
  2. Step 2: Convert to fraction form
    320,554/685,578 = 685,578/x
  3. Step 3: Cross multiply
    320,554x = 685,578 × 685,578
  4. Step 4: Simplify right side
    320,554x = 470,017,194,084
  5. Step 5: Solve for x
    x = 470,017,194,084/320,554
  6. Step 6: Final answer
    x = 1,466,265.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.