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Finding the Third Proportional to 250,483.50 and 513,236.25

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Solution

The third proportional to 250,483.50 and 513,236.25 is: 1,051,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,483.50 : 513,236.25 = 513,236.25 : x
  2. Step 2: Convert to fraction form
    250,483.50/513,236.25 = 513,236.25/x
  3. Step 3: Cross multiply
    250,483.50x = 513,236.25 × 513,236.25
  4. Step 4: Simplify right side
    250,483.50x = 263,411,448,314.06
  5. Step 5: Solve for x
    x = 263,411,448,314.06/250,483.50
  6. Step 6: Final answer
    x = 1,051,611.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.