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Finding the Third Proportional to 251,135.44 and 592,717.50

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Solution

The third proportional to 251,135.44 and 592,717.50 is: 1,398,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,135.44 : 592,717.50 = 592,717.50 : x
  2. Step 2: Convert to fraction form
    251,135.44/592,717.50 = 592,717.50/x
  3. Step 3: Cross multiply
    251,135.44x = 592,717.50 × 592,717.50
  4. Step 4: Simplify right side
    251,135.44x = 351,314,034,806.25
  5. Step 5: Solve for x
    x = 351,314,034,806.25/251,135.44
  6. Step 6: Final answer
    x = 1,398,902.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.