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Finding the Third Proportional to 252,900 and 545,008

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Solution

The third proportional to 252,900 and 545,008 is: 1,174,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,900 : 545,008 = 545,008 : x
  2. Step 2: Convert to fraction form
    252,900/545,008 = 545,008/x
  3. Step 3: Cross multiply
    252,900x = 545,008 × 545,008
  4. Step 4: Simplify right side
    252,900x = 297,033,720,064
  5. Step 5: Solve for x
    x = 297,033,720,064/252,900
  6. Step 6: Final answer
    x = 1,174,510.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.