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Finding the Third Proportional to 479,688 and 693,012

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Solution

The third proportional to 479,688 and 693,012 is: 1,001,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,688 : 693,012 = 693,012 : x
  2. Step 2: Convert to fraction form
    479,688/693,012 = 693,012/x
  3. Step 3: Cross multiply
    479,688x = 693,012 × 693,012
  4. Step 4: Simplify right side
    479,688x = 480,265,632,144
  5. Step 5: Solve for x
    x = 480,265,632,144/479,688
  6. Step 6: Final answer
    x = 1,001,204.18

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.