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Finding the Third Proportional to 489,334 and 756,268

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Solution

The third proportional to 489,334 and 756,268 is: 1,168,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,334 : 756,268 = 756,268 : x
  2. Step 2: Convert to fraction form
    489,334/756,268 = 756,268/x
  3. Step 3: Cross multiply
    489,334x = 756,268 × 756,268
  4. Step 4: Simplify right side
    489,334x = 571,941,287,824
  5. Step 5: Solve for x
    x = 571,941,287,824/489,334
  6. Step 6: Final answer
    x = 1,168,815.75

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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.