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Finding the Third Proportional to 307,726.75 and 486,882.50

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Solution

The third proportional to 307,726.75 and 486,882.50 is: 770,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,726.75 : 486,882.50 = 486,882.50 : x
  2. Step 2: Convert to fraction form
    307,726.75/486,882.50 = 486,882.50/x
  3. Step 3: Cross multiply
    307,726.75x = 486,882.50 × 486,882.50
  4. Step 4: Simplify right side
    307,726.75x = 237,054,568,806.25
  5. Step 5: Solve for x
    x = 237,054,568,806.25/307,726.75
  6. Step 6: Final answer
    x = 770,341.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.