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Finding the Third Proportional to 565,623 and 791,195.25

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Solution

The third proportional to 565,623 and 791,195.25 is: 1,106,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,623 : 791,195.25 = 791,195.25 : x
  2. Step 2: Convert to fraction form
    565,623/791,195.25 = 791,195.25/x
  3. Step 3: Cross multiply
    565,623x = 791,195.25 × 791,195.25
  4. Step 4: Simplify right side
    565,623x = 625,989,923,622.56
  5. Step 5: Solve for x
    x = 625,989,923,622.56/565,623
  6. Step 6: Final answer
    x = 1,106,726.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.