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Finding the Third Proportional to 303,635.25 and 463,495.50

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Solution

The third proportional to 303,635.25 and 463,495.50 is: 707,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,635.25 : 463,495.50 = 463,495.50 : x
  2. Step 2: Convert to fraction form
    303,635.25/463,495.50 = 463,495.50/x
  3. Step 3: Cross multiply
    303,635.25x = 463,495.50 × 463,495.50
  4. Step 4: Simplify right side
    303,635.25x = 214,828,078,520.25
  5. Step 5: Solve for x
    x = 214,828,078,520.25/303,635.25
  6. Step 6: Final answer
    x = 707,520.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.