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Finding the Third Proportional to 416,256 and 884,344

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Solution

The third proportional to 416,256 and 884,344 is: 1,878,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,256 : 884,344 = 884,344 : x
  2. Step 2: Convert to fraction form
    416,256/884,344 = 884,344/x
  3. Step 3: Cross multiply
    416,256x = 884,344 × 884,344
  4. Step 4: Simplify right side
    416,256x = 782,064,310,336
  5. Step 5: Solve for x
    x = 782,064,310,336/416,256
  6. Step 6: Final answer
    x = 1,878,806.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.