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Finding the Third Proportional to 442,573,524 and 649,511,325

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Solution

The third proportional to 442,573,524 and 649,511,325 is: 953,208,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,573,524 : 649,511,325 = 649,511,325 : x
  2. Step 2: Convert to fraction form
    442,573,524/649,511,325 = 649,511,325/x
  3. Step 3: Cross multiply
    442,573,524x = 649,511,325 × 649,511,325
  4. Step 4: Simplify right side
    442,573,524x = 421,864,961,303,255,616
  5. Step 5: Solve for x
    x = 421,864,961,303,255,616/442,573,524
  6. Step 6: Final answer
    x = 953,208,762.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.