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Finding the Third Proportional to 263,268 and 513,412.50

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Solution

The third proportional to 263,268 and 513,412.50 is: 1,001,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,268 : 513,412.50 = 513,412.50 : x
  2. Step 2: Convert to fraction form
    263,268/513,412.50 = 513,412.50/x
  3. Step 3: Cross multiply
    263,268x = 513,412.50 × 513,412.50
  4. Step 4: Simplify right side
    263,268x = 263,592,395,156.25
  5. Step 5: Solve for x
    x = 263,592,395,156.25/263,268
  6. Step 6: Final answer
    x = 1,001,232.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.