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Finding the Third Proportional to 274,284 and 411,426

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Solution

The third proportional to 274,284 and 411,426 is: 617,139

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,284 : 411,426 = 411,426 : x
  2. Step 2: Convert to fraction form
    274,284/411,426 = 411,426/x
  3. Step 3: Cross multiply
    274,284x = 411,426 × 411,426
  4. Step 4: Simplify right side
    274,284x = 169,271,353,476
  5. Step 5: Solve for x
    x = 169,271,353,476/274,284
  6. Step 6: Final answer
    x = 617,139

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.