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Finding the Third Proportional to 263,477 and 578,164

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Solution

The third proportional to 263,477 and 578,164 is: 1,268,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,477 : 578,164 = 578,164 : x
  2. Step 2: Convert to fraction form
    263,477/578,164 = 578,164/x
  3. Step 3: Cross multiply
    263,477x = 578,164 × 578,164
  4. Step 4: Simplify right side
    263,477x = 334,273,610,896
  5. Step 5: Solve for x
    x = 334,273,610,896/263,477
  6. Step 6: Final answer
    x = 1,268,701.29

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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.