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Finding the Third Proportional to 274,224 and 611,464

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Solution

The third proportional to 274,224 and 611,464 is: 1,363,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,224 : 611,464 = 611,464 : x
  2. Step 2: Convert to fraction form
    274,224/611,464 = 611,464/x
  3. Step 3: Cross multiply
    274,224x = 611,464 × 611,464
  4. Step 4: Simplify right side
    274,224x = 373,888,223,296
  5. Step 5: Solve for x
    x = 373,888,223,296/274,224
  6. Step 6: Final answer
    x = 1,363,440.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.