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Finding the Third Proportional to 489,328 and 756,256

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Solution

The third proportional to 489,328 and 756,256 is: 1,168,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,328 : 756,256 = 756,256 : x
  2. Step 2: Convert to fraction form
    489,328/756,256 = 756,256/x
  3. Step 3: Cross multiply
    489,328x = 756,256 × 756,256
  4. Step 4: Simplify right side
    489,328x = 571,923,137,536
  5. Step 5: Solve for x
    x = 571,923,137,536/489,328
  6. Step 6: Final answer
    x = 1,168,792.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.