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Finding the Third Proportional to 307,326.75 and 466,526.25

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Solution

The third proportional to 307,326.75 and 466,526.25 is: 708,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,326.75 : 466,526.25 = 466,526.25 : x
  2. Step 2: Convert to fraction form
    307,326.75/466,526.25 = 466,526.25/x
  3. Step 3: Cross multiply
    307,326.75x = 466,526.25 × 466,526.25
  4. Step 4: Simplify right side
    307,326.75x = 217,646,741,939.06
  5. Step 5: Solve for x
    x = 217,646,741,939.06/307,326.75
  6. Step 6: Final answer
    x = 708,193.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.