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Finding the Third Proportional to 256,668,760 and 554,246,080

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Solution

The third proportional to 256,668,760 and 554,246,080 is: 1,196,829,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,668,760 : 554,246,080 = 554,246,080 : x
  2. Step 2: Convert to fraction form
    256,668,760/554,246,080 = 554,246,080/x
  3. Step 3: Cross multiply
    256,668,760x = 554,246,080 × 554,246,080
  4. Step 4: Simplify right side
    256,668,760x = 307,188,717,195,366,400
  5. Step 5: Solve for x
    x = 307,188,717,195,366,400/256,668,760
  6. Step 6: Final answer
    x = 1,196,829,396.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.