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Finding the Third Proportional to 257,084 and 553,642

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Solution

The third proportional to 257,084 and 553,642 is: 1,192,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,084 : 553,642 = 553,642 : x
  2. Step 2: Convert to fraction form
    257,084/553,642 = 553,642/x
  3. Step 3: Cross multiply
    257,084x = 553,642 × 553,642
  4. Step 4: Simplify right side
    257,084x = 306,519,464,164
  5. Step 5: Solve for x
    x = 306,519,464,164/257,084
  6. Step 6: Final answer
    x = 1,192,293.04

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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.