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Finding the Third Proportional to 392,839,020 and 546,211,266

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Solution

The third proportional to 392,839,020 and 546,211,266 is: 759,463,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,839,020 : 546,211,266 = 546,211,266 : x
  2. Step 2: Convert to fraction form
    392,839,020/546,211,266 = 546,211,266/x
  3. Step 3: Cross multiply
    392,839,020x = 546,211,266 × 546,211,266
  4. Step 4: Simplify right side
    392,839,020x = 298,346,747,105,322,752
  5. Step 5: Solve for x
    x = 298,346,747,105,322,752/392,839,020
  6. Step 6: Final answer
    x = 759,463,118.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.