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Finding the Third Proportional to 252,657.56 and 380,011.50

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Solution

The third proportional to 252,657.56 and 380,011.50 is: 571,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,657.56 : 380,011.50 = 380,011.50 : x
  2. Step 2: Convert to fraction form
    252,657.56/380,011.50 = 380,011.50/x
  3. Step 3: Cross multiply
    252,657.56x = 380,011.50 × 380,011.50
  4. Step 4: Simplify right side
    252,657.56x = 144,408,740,132.25
  5. Step 5: Solve for x
    x = 144,408,740,132.25/252,657.56
  6. Step 6: Final answer
    x = 571,559.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.