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Finding the Third Proportional to 475,434 and 1,057,171.50

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Solution

The third proportional to 475,434 and 1,057,171.50 is: 2,350,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,434 : 1,057,171.50 = 1,057,171.50 : x
  2. Step 2: Convert to fraction form
    475,434/1,057,171.50 = 1,057,171.50/x
  3. Step 3: Cross multiply
    475,434x = 1,057,171.50 × 1,057,171.50
  4. Step 4: Simplify right side
    475,434x = 1,117,611,580,412.25
  5. Step 5: Solve for x
    x = 1,117,611,580,412.25/475,434
  6. Step 6: Final answer
    x = 2,350,718.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.