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Finding the Third Proportional to 565,621 and 791,192

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Solution

The third proportional to 565,621 and 791,192 is: 1,106,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,621 : 791,192 = 791,192 : x
  2. Step 2: Convert to fraction form
    565,621/791,192 = 791,192/x
  3. Step 3: Cross multiply
    565,621x = 791,192 × 791,192
  4. Step 4: Simplify right side
    565,621x = 625,984,780,864
  5. Step 5: Solve for x
    x = 625,984,780,864/565,621
  6. Step 6: Final answer
    x = 1,106,721.25

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Why These Related Problems?

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