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Finding the Third Proportional to 269,866 and 592,220

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Solution

The third proportional to 269,866 and 592,220 is: 1,299,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,866 : 592,220 = 592,220 : x
  2. Step 2: Convert to fraction form
    269,866/592,220 = 592,220/x
  3. Step 3: Cross multiply
    269,866x = 592,220 × 592,220
  4. Step 4: Simplify right side
    269,866x = 350,724,528,400
  5. Step 5: Solve for x
    x = 350,724,528,400/269,866
  6. Step 6: Final answer
    x = 1,299,624.73

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Why These Related Problems?

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