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Finding the Third Proportional to 463,256 and 699,804

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Solution

The third proportional to 463,256 and 699,804 is: 1,057,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,256 : 699,804 = 699,804 : x
  2. Step 2: Convert to fraction form
    463,256/699,804 = 699,804/x
  3. Step 3: Cross multiply
    463,256x = 699,804 × 699,804
  4. Step 4: Simplify right side
    463,256x = 489,725,638,416
  5. Step 5: Solve for x
    x = 489,725,638,416/463,256
  6. Step 6: Final answer
    x = 1,057,138.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.