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Finding the Third Proportional to 275,064 and 371,124

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Solution

The third proportional to 275,064 and 371,124 is: 500,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,064 : 371,124 = 371,124 : x
  2. Step 2: Convert to fraction form
    275,064/371,124 = 371,124/x
  3. Step 3: Cross multiply
    275,064x = 371,124 × 371,124
  4. Step 4: Simplify right side
    275,064x = 137,733,023,376
  5. Step 5: Solve for x
    x = 137,733,023,376/275,064
  6. Step 6: Final answer
    x = 500,730.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.