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Finding the Third Proportional to 631,318 and 850,586

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Solution

The third proportional to 631,318 and 850,586 is: 1,146,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,318 : 850,586 = 850,586 : x
  2. Step 2: Convert to fraction form
    631,318/850,586 = 850,586/x
  3. Step 3: Cross multiply
    631,318x = 850,586 × 850,586
  4. Step 4: Simplify right side
    631,318x = 723,496,543,396
  5. Step 5: Solve for x
    x = 723,496,543,396/631,318
  6. Step 6: Final answer
    x = 1,146,009.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.