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Finding the Third Proportional to 262,940 and 574,510

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Solution

The third proportional to 262,940 and 574,510 is: 1,255,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,940 : 574,510 = 574,510 : x
  2. Step 2: Convert to fraction form
    262,940/574,510 = 574,510/x
  3. Step 3: Cross multiply
    262,940x = 574,510 × 574,510
  4. Step 4: Simplify right side
    262,940x = 330,061,740,100
  5. Step 5: Solve for x
    x = 330,061,740,100/262,940
  6. Step 6: Final answer
    x = 1,255,273.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.