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Finding the Third Proportional to 478,462 and 770,907

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Solution

The third proportional to 478,462 and 770,907 is: 1,242,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,462 : 770,907 = 770,907 : x
  2. Step 2: Convert to fraction form
    478,462/770,907 = 770,907/x
  3. Step 3: Cross multiply
    478,462x = 770,907 × 770,907
  4. Step 4: Simplify right side
    478,462x = 594,297,602,649
  5. Step 5: Solve for x
    x = 594,297,602,649/478,462
  6. Step 6: Final answer
    x = 1,242,099.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.