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Finding the Third Proportional to 500,670 and 775,743

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Solution

The third proportional to 500,670 and 775,743 is: 1,201,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,670 : 775,743 = 775,743 : x
  2. Step 2: Convert to fraction form
    500,670/775,743 = 775,743/x
  3. Step 3: Cross multiply
    500,670x = 775,743 × 775,743
  4. Step 4: Simplify right side
    500,670x = 601,777,202,049
  5. Step 5: Solve for x
    x = 601,777,202,049/500,670
  6. Step 6: Final answer
    x = 1,201,943.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.