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Finding the Third Proportional to 286,480.50 and 623,937

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Solution

The third proportional to 286,480.50 and 623,937 is: 1,358,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,480.50 : 623,937 = 623,937 : x
  2. Step 2: Convert to fraction form
    286,480.50/623,937 = 623,937/x
  3. Step 3: Cross multiply
    286,480.50x = 623,937 × 623,937
  4. Step 4: Simplify right side
    286,480.50x = 389,297,379,969
  5. Step 5: Solve for x
    x = 389,297,379,969/286,480.50
  6. Step 6: Final answer
    x = 1,358,896.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.