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Finding the Third Proportional to 465,486.75 and 624,300.75

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Solution

The third proportional to 465,486.75 and 624,300.75 is: 837,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,486.75 : 624,300.75 = 624,300.75 : x
  2. Step 2: Convert to fraction form
    465,486.75/624,300.75 = 624,300.75/x
  3. Step 3: Cross multiply
    465,486.75x = 624,300.75 × 624,300.75
  4. Step 4: Simplify right side
    465,486.75x = 389,751,426,450.56
  5. Step 5: Solve for x
    x = 389,751,426,450.56/465,486.75
  6. Step 6: Final answer
    x = 837,298.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.