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Finding the Third Proportional to 506,586 and 802,161

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Solution

The third proportional to 506,586 and 802,161 is: 1,270,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,586 : 802,161 = 802,161 : x
  2. Step 2: Convert to fraction form
    506,586/802,161 = 802,161/x
  3. Step 3: Cross multiply
    506,586x = 802,161 × 802,161
  4. Step 4: Simplify right side
    506,586x = 643,462,269,921
  5. Step 5: Solve for x
    x = 643,462,269,921/506,586
  6. Step 6: Final answer
    x = 1,270,193.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.