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Finding the Third Proportional to 284,721,804 and 443,728,962

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Solution

The third proportional to 284,721,804 and 443,728,962 is: 691,536,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,721,804 : 443,728,962 = 443,728,962 : x
  2. Step 2: Convert to fraction form
    284,721,804/443,728,962 = 443,728,962/x
  3. Step 3: Cross multiply
    284,721,804x = 443,728,962 × 443,728,962
  4. Step 4: Simplify right side
    284,721,804x = 196,895,391,717,597,440
  5. Step 5: Solve for x
    x = 196,895,391,717,597,440/284,721,804
  6. Step 6: Final answer
    x = 691,536,050.11

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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.