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Finding the Third Proportional to 477,658 and 696,795

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Solution

The third proportional to 477,658 and 696,795 is: 1,016,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,658 : 696,795 = 696,795 : x
  2. Step 2: Convert to fraction form
    477,658/696,795 = 696,795/x
  3. Step 3: Cross multiply
    477,658x = 696,795 × 696,795
  4. Step 4: Simplify right side
    477,658x = 485,523,272,025
  5. Step 5: Solve for x
    x = 485,523,272,025/477,658
  6. Step 6: Final answer
    x = 1,016,466.33

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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.