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Finding the Third Proportional to 301,082.50 and 440,319.75

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Solution

The third proportional to 301,082.50 and 440,319.75 is: 643,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.50 : 440,319.75 = 440,319.75 : x
  2. Step 2: Convert to fraction form
    301,082.50/440,319.75 = 440,319.75/x
  3. Step 3: Cross multiply
    301,082.50x = 440,319.75 × 440,319.75
  4. Step 4: Simplify right side
    301,082.50x = 193,881,482,240.06
  5. Step 5: Solve for x
    x = 193,881,482,240.06/301,082.50
  6. Step 6: Final answer
    x = 643,948.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.