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Finding the Third Proportional to 467,388 and 763,127

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Solution

The third proportional to 467,388 and 763,127 is: 1,245,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,388 : 763,127 = 763,127 : x
  2. Step 2: Convert to fraction form
    467,388/763,127 = 763,127/x
  3. Step 3: Cross multiply
    467,388x = 763,127 × 763,127
  4. Step 4: Simplify right side
    467,388x = 582,362,818,129
  5. Step 5: Solve for x
    x = 582,362,818,129/467,388
  6. Step 6: Final answer
    x = 1,245,994.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.