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Finding the Third Proportional to 257,438 and 553,619

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Solution

The third proportional to 257,438 and 553,619 is: 1,190,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438 : 553,619 = 553,619 : x
  2. Step 2: Convert to fraction form
    257,438/553,619 = 553,619/x
  3. Step 3: Cross multiply
    257,438x = 553,619 × 553,619
  4. Step 4: Simplify right side
    257,438x = 306,493,997,161
  5. Step 5: Solve for x
    x = 306,493,997,161/257,438
  6. Step 6: Final answer
    x = 1,190,554.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.