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Finding the Third Proportional to 328,294,296 and 512,316,900

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Solution

The third proportional to 328,294,296 and 512,316,900 is: 799,491,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,294,296 : 512,316,900 = 512,316,900 : x
  2. Step 2: Convert to fraction form
    328,294,296/512,316,900 = 512,316,900/x
  3. Step 3: Cross multiply
    328,294,296x = 512,316,900 × 512,316,900
  4. Step 4: Simplify right side
    328,294,296x = 262,468,606,025,609,984
  5. Step 5: Solve for x
    x = 262,468,606,025,609,984/328,294,296
  6. Step 6: Final answer
    x = 799,491,825.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.