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Finding the Third Proportional to 568,923 and 832,365

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Solution

The third proportional to 568,923 and 832,365 is: 1,217,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,923 : 832,365 = 832,365 : x
  2. Step 2: Convert to fraction form
    568,923/832,365 = 832,365/x
  3. Step 3: Cross multiply
    568,923x = 832,365 × 832,365
  4. Step 4: Simplify right side
    568,923x = 692,831,493,225
  5. Step 5: Solve for x
    x = 692,831,493,225/568,923
  6. Step 6: Final answer
    x = 1,217,794.84

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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.