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Finding the Third Proportional to 681,486.75 and 997,444.13

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Solution

The third proportional to 681,486.75 and 997,444.13 is: 1,459,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,486.75 : 997,444.13 = 997,444.13 : x
  2. Step 2: Convert to fraction form
    681,486.75/997,444.13 = 997,444.13/x
  3. Step 3: Cross multiply
    681,486.75x = 997,444.13 × 997,444.13
  4. Step 4: Simplify right side
    681,486.75x = 994,894,782,497.02
  5. Step 5: Solve for x
    x = 994,894,782,497.02/681,486.75
  6. Step 6: Final answer
    x = 1,459,888.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.