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Finding the Third Proportional to 177,597 and 389,574

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Solution

The third proportional to 177,597 and 389,574 is: 854,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,597 : 389,574 = 389,574 : x
  2. Step 2: Convert to fraction form
    177,597/389,574 = 389,574/x
  3. Step 3: Cross multiply
    177,597x = 389,574 × 389,574
  4. Step 4: Simplify right side
    177,597x = 151,767,901,476
  5. Step 5: Solve for x
    x = 151,767,901,476/177,597
  6. Step 6: Final answer
    x = 854,563.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.