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Finding the Third Proportional to 274,440 and 410,508

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Solution

The third proportional to 274,440 and 410,508 is: 614,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,440 : 410,508 = 410,508 : x
  2. Step 2: Convert to fraction form
    274,440/410,508 = 410,508/x
  3. Step 3: Cross multiply
    274,440x = 410,508 × 410,508
  4. Step 4: Simplify right side
    274,440x = 168,516,818,064
  5. Step 5: Solve for x
    x = 168,516,818,064/274,440
  6. Step 6: Final answer
    x = 614,038.84

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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.