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Finding the Third Proportional to 253,148 and 556,824

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Solution

The third proportional to 253,148 and 556,824 is: 1,224,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,148 : 556,824 = 556,824 : x
  2. Step 2: Convert to fraction form
    253,148/556,824 = 556,824/x
  3. Step 3: Cross multiply
    253,148x = 556,824 × 556,824
  4. Step 4: Simplify right side
    253,148x = 310,052,966,976
  5. Step 5: Solve for x
    x = 310,052,966,976/253,148
  6. Step 6: Final answer
    x = 1,224,789.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.