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Finding the Third Proportional to 291,585,609 and 594,902,279.25

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Solution

The third proportional to 291,585,609 and 594,902,279.25 is: 1,213,738,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,585,609 : 594,902,279.25 = 594,902,279.25 : x
  2. Step 2: Convert to fraction form
    291,585,609/594,902,279.25 = 594,902,279.25/x
  3. Step 3: Cross multiply
    291,585,609x = 594,902,279.25 × 594,902,279.25
  4. Step 4: Simplify right side
    291,585,609x = 353,908,721,856,844,992
  5. Step 5: Solve for x
    x = 353,908,721,856,844,992/291,585,609
  6. Step 6: Final answer
    x = 1,213,738,644.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.