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Finding the Third Proportional to 252,786 and 556,416

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Solution

The third proportional to 252,786 and 556,416 is: 1,224,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,786 : 556,416 = 556,416 : x
  2. Step 2: Convert to fraction form
    252,786/556,416 = 556,416/x
  3. Step 3: Cross multiply
    252,786x = 556,416 × 556,416
  4. Step 4: Simplify right side
    252,786x = 309,598,765,056
  5. Step 5: Solve for x
    x = 309,598,765,056/252,786
  6. Step 6: Final answer
    x = 1,224,746.49

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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.