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Finding the Third Proportional to 565,962 and 856,235

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Solution

The third proportional to 565,962 and 856,235 is: 1,295,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,962 : 856,235 = 856,235 : x
  2. Step 2: Convert to fraction form
    565,962/856,235 = 856,235/x
  3. Step 3: Cross multiply
    565,962x = 856,235 × 856,235
  4. Step 4: Simplify right side
    565,962x = 733,138,375,225
  5. Step 5: Solve for x
    x = 733,138,375,225/565,962
  6. Step 6: Final answer
    x = 1,295,384.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.