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Finding the Third Proportional to 253,194 and 545,754

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Solution

The third proportional to 253,194 and 545,754 is: 1,176,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,194 : 545,754 = 545,754 : x
  2. Step 2: Convert to fraction form
    253,194/545,754 = 545,754/x
  3. Step 3: Cross multiply
    253,194x = 545,754 × 545,754
  4. Step 4: Simplify right side
    253,194x = 297,847,428,516
  5. Step 5: Solve for x
    x = 297,847,428,516/253,194
  6. Step 6: Final answer
    x = 1,176,360.53

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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.