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Finding the Third Proportional to 254,372 and 545,623.50

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Solution

The third proportional to 254,372 and 545,623.50 is: 1,170,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,372 : 545,623.50 = 545,623.50 : x
  2. Step 2: Convert to fraction form
    254,372/545,623.50 = 545,623.50/x
  3. Step 3: Cross multiply
    254,372x = 545,623.50 × 545,623.50
  4. Step 4: Simplify right side
    254,372x = 297,705,003,752.25
  5. Step 5: Solve for x
    x = 297,705,003,752.25/254,372
  6. Step 6: Final answer
    x = 1,170,352.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.