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Finding the Third Proportional to 274,548 and 601,584

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Solution

The third proportional to 274,548 and 601,584 is: 1,318,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,548 : 601,584 = 601,584 : x
  2. Step 2: Convert to fraction form
    274,548/601,584 = 601,584/x
  3. Step 3: Cross multiply
    274,548x = 601,584 × 601,584
  4. Step 4: Simplify right side
    274,548x = 361,903,309,056
  5. Step 5: Solve for x
    x = 361,903,309,056/274,548
  6. Step 6: Final answer
    x = 1,318,178.64

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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.