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Finding the Third Proportional to 264,489.75 and 624,260.25

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Solution

The third proportional to 264,489.75 and 624,260.25 is: 1,473,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,489.75 : 624,260.25 = 624,260.25 : x
  2. Step 2: Convert to fraction form
    264,489.75/624,260.25 = 624,260.25/x
  3. Step 3: Cross multiply
    264,489.75x = 624,260.25 × 624,260.25
  4. Step 4: Simplify right side
    264,489.75x = 389,700,859,730.06
  5. Step 5: Solve for x
    x = 389,700,859,730.06/264,489.75
  6. Step 6: Final answer
    x = 1,473,406.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.