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Finding the Third Proportional to 294,658,474.50 and 641,630,679

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Solution

The third proportional to 294,658,474.50 and 641,630,679 is: 1,397,176,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658,474.50 : 641,630,679 = 641,630,679 : x
  2. Step 2: Convert to fraction form
    294,658,474.50/641,630,679 = 641,630,679/x
  3. Step 3: Cross multiply
    294,658,474.50x = 641,630,679 × 641,630,679
  4. Step 4: Simplify right side
    294,658,474.50x = 411,689,928,234,001,024
  5. Step 5: Solve for x
    x = 411,689,928,234,001,024/294,658,474.50
  6. Step 6: Final answer
    x = 1,397,176,609.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.