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Finding the Third Proportional to 306,048 and 585,082.50

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Solution

The third proportional to 306,048 and 585,082.50 is: 1,118,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,048 : 585,082.50 = 585,082.50 : x
  2. Step 2: Convert to fraction form
    306,048/585,082.50 = 585,082.50/x
  3. Step 3: Cross multiply
    306,048x = 585,082.50 × 585,082.50
  4. Step 4: Simplify right side
    306,048x = 342,321,531,806.25
  5. Step 5: Solve for x
    x = 342,321,531,806.25/306,048
  6. Step 6: Final answer
    x = 1,118,522.36

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.