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Finding the Third Proportional to 253,147 and 556,822

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Solution

The third proportional to 253,147 and 556,822 is: 1,224,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,147 : 556,822 = 556,822 : x
  2. Step 2: Convert to fraction form
    253,147/556,822 = 556,822/x
  3. Step 3: Cross multiply
    253,147x = 556,822 × 556,822
  4. Step 4: Simplify right side
    253,147x = 310,050,739,684
  5. Step 5: Solve for x
    x = 310,050,739,684/253,147
  6. Step 6: Final answer
    x = 1,224,785.36

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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.