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Finding the Third Proportional to 261,563 and 370,214

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Solution

The third proportional to 261,563 and 370,214 is: 523,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,563 : 370,214 = 370,214 : x
  2. Step 2: Convert to fraction form
    261,563/370,214 = 370,214/x
  3. Step 3: Cross multiply
    261,563x = 370,214 × 370,214
  4. Step 4: Simplify right side
    261,563x = 137,058,405,796
  5. Step 5: Solve for x
    x = 137,058,405,796/261,563
  6. Step 6: Final answer
    x = 523,997.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.