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Finding the Third Proportional to 274,150 and 611,335

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Solution

The third proportional to 274,150 and 611,335 is: 1,363,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,150 : 611,335 = 611,335 : x
  2. Step 2: Convert to fraction form
    274,150/611,335 = 611,335/x
  3. Step 3: Cross multiply
    274,150x = 611,335 × 611,335
  4. Step 4: Simplify right side
    274,150x = 373,730,482,225
  5. Step 5: Solve for x
    x = 373,730,482,225/274,150
  6. Step 6: Final answer
    x = 1,363,233.57

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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.