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Finding the Third Proportional to 252,054 and 545,484

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Solution

The third proportional to 252,054 and 545,484 is: 1,180,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,054 : 545,484 = 545,484 : x
  2. Step 2: Convert to fraction form
    252,054/545,484 = 545,484/x
  3. Step 3: Cross multiply
    252,054x = 545,484 × 545,484
  4. Step 4: Simplify right side
    252,054x = 297,552,794,256
  5. Step 5: Solve for x
    x = 297,552,794,256/252,054
  6. Step 6: Final answer
    x = 1,180,512.09

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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.