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Finding the Third Proportional to 269,871 and 592,230

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Solution

The third proportional to 269,871 and 592,230 is: 1,299,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,871 : 592,230 = 592,230 : x
  2. Step 2: Convert to fraction form
    269,871/592,230 = 592,230/x
  3. Step 3: Cross multiply
    269,871x = 592,230 × 592,230
  4. Step 4: Simplify right side
    269,871x = 350,736,372,900
  5. Step 5: Solve for x
    x = 350,736,372,900/269,871
  6. Step 6: Final answer
    x = 1,299,644.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.