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Finding the Third Proportional to 572,066 and 856,995

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Solution

The third proportional to 572,066 and 856,995 is: 1,283,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,066 : 856,995 = 856,995 : x
  2. Step 2: Convert to fraction form
    572,066/856,995 = 856,995/x
  3. Step 3: Cross multiply
    572,066x = 856,995 × 856,995
  4. Step 4: Simplify right side
    572,066x = 734,440,430,025
  5. Step 5: Solve for x
    x = 734,440,430,025/572,066
  6. Step 6: Final answer
    x = 1,283,838.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.