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Finding the Third Proportional to 253,122 and 556,772

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Solution

The third proportional to 253,122 and 556,772 is: 1,224,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,122 : 556,772 = 556,772 : x
  2. Step 2: Convert to fraction form
    253,122/556,772 = 556,772/x
  3. Step 3: Cross multiply
    253,122x = 556,772 × 556,772
  4. Step 4: Simplify right side
    253,122x = 309,995,059,984
  5. Step 5: Solve for x
    x = 309,995,059,984/253,122
  6. Step 6: Final answer
    x = 1,224,686.36

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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.