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Finding the Third Proportional to 264,486.94 and 624,250.69

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Solution

The third proportional to 264,486.94 and 624,250.69 is: 1,473,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,486.94 : 624,250.69 = 624,250.69 : x
  2. Step 2: Convert to fraction form
    264,486.94/624,250.69 = 624,250.69/x
  3. Step 3: Cross multiply
    264,486.94x = 624,250.69 × 624,250.69
  4. Step 4: Simplify right side
    264,486.94x = 389,688,920,844.22
  5. Step 5: Solve for x
    x = 389,688,920,844.22/264,486.94
  6. Step 6: Final answer
    x = 1,473,376.81

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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.