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Finding the Third Proportional to 263,240 and 384,987

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Solution

The third proportional to 263,240 and 384,987 is: 563,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,240 : 384,987 = 384,987 : x
  2. Step 2: Convert to fraction form
    263,240/384,987 = 384,987/x
  3. Step 3: Cross multiply
    263,240x = 384,987 × 384,987
  4. Step 4: Simplify right side
    263,240x = 148,214,990,169
  5. Step 5: Solve for x
    x = 148,214,990,169/263,240
  6. Step 6: Final answer
    x = 563,041.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.