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Finding the Third Proportional to 252,469 and 544,303

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Solution

The third proportional to 252,469 and 544,303 is: 1,173,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,469 : 544,303 = 544,303 : x
  2. Step 2: Convert to fraction form
    252,469/544,303 = 544,303/x
  3. Step 3: Cross multiply
    252,469x = 544,303 × 544,303
  4. Step 4: Simplify right side
    252,469x = 296,265,755,809
  5. Step 5: Solve for x
    x = 296,265,755,809/252,469
  6. Step 6: Final answer
    x = 1,173,473.80

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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.