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Finding the Third Proportional to 508,001 and 696,608

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Solution

The third proportional to 508,001 and 696,608 is: 955,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,001 : 696,608 = 696,608 : x
  2. Step 2: Convert to fraction form
    508,001/696,608 = 696,608/x
  3. Step 3: Cross multiply
    508,001x = 696,608 × 696,608
  4. Step 4: Simplify right side
    508,001x = 485,262,705,664
  5. Step 5: Solve for x
    x = 485,262,705,664/508,001
  6. Step 6: Final answer
    x = 955,239.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.