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Finding the Third Proportional to 252,796 and 556,441

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Solution

The third proportional to 252,796 and 556,441 is: 1,224,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,796 : 556,441 = 556,441 : x
  2. Step 2: Convert to fraction form
    252,796/556,441 = 556,441/x
  3. Step 3: Cross multiply
    252,796x = 556,441 × 556,441
  4. Step 4: Simplify right side
    252,796x = 309,626,586,481
  5. Step 5: Solve for x
    x = 309,626,586,481/252,796
  6. Step 6: Final answer
    x = 1,224,808.09

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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.