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Finding the Third Proportional to 328,971,047 and 722,504,296

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Solution

The third proportional to 328,971,047 and 722,504,296 is: 1,586,803,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971,047 : 722,504,296 = 722,504,296 : x
  2. Step 2: Convert to fraction form
    328,971,047/722,504,296 = 722,504,296/x
  3. Step 3: Cross multiply
    328,971,047x = 722,504,296 × 722,504,296
  4. Step 4: Simplify right side
    328,971,047x = 522,012,457,738,455,616
  5. Step 5: Solve for x
    x = 522,012,457,738,455,616/328,971,047
  6. Step 6: Final answer
    x = 1,586,803,648.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.