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Finding the Third Proportional to 253,132 and 556,788

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Solution

The third proportional to 253,132 and 556,788 is: 1,224,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,132 : 556,788 = 556,788 : x
  2. Step 2: Convert to fraction form
    253,132/556,788 = 556,788/x
  3. Step 3: Cross multiply
    253,132x = 556,788 × 556,788
  4. Step 4: Simplify right side
    253,132x = 310,012,876,944
  5. Step 5: Solve for x
    x = 310,012,876,944/253,132
  6. Step 6: Final answer
    x = 1,224,708.36

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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.