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Finding the Third Proportional to 307,319.06 and 465,266.53

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Solution

The third proportional to 307,319.06 and 465,266.53 is: 704,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,319.06 : 465,266.53 = 465,266.53 : x
  2. Step 2: Convert to fraction form
    307,319.06/465,266.53 = 465,266.53/x
  3. Step 3: Cross multiply
    307,319.06x = 465,266.53 × 465,266.53
  4. Step 4: Simplify right side
    307,319.06x = 216,472,945,101.41
  5. Step 5: Solve for x
    x = 216,472,945,101.41/307,319.06
  6. Step 6: Final answer
    x = 704,391.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.