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Finding the Third Proportional to 300,082.50 and 464,341.50

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Solution

The third proportional to 300,082.50 and 464,341.50 is: 718,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,082.50 : 464,341.50 = 464,341.50 : x
  2. Step 2: Convert to fraction form
    300,082.50/464,341.50 = 464,341.50/x
  3. Step 3: Cross multiply
    300,082.50x = 464,341.50 × 464,341.50
  4. Step 4: Simplify right side
    300,082.50x = 215,613,028,622.25
  5. Step 5: Solve for x
    x = 215,613,028,622.25/300,082.50
  6. Step 6: Final answer
    x = 718,512.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.