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Finding the Third Proportional to 248,256 and 531,508

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Solution

The third proportional to 248,256 and 531,508 is: 1,137,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,256 : 531,508 = 531,508 : x
  2. Step 2: Convert to fraction form
    248,256/531,508 = 531,508/x
  3. Step 3: Cross multiply
    248,256x = 531,508 × 531,508
  4. Step 4: Simplify right side
    248,256x = 282,500,754,064
  5. Step 5: Solve for x
    x = 282,500,754,064/248,256
  6. Step 6: Final answer
    x = 1,137,941.29

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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.