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Finding the Third Proportional to 269,946 and 586,494

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Solution

The third proportional to 269,946 and 586,494 is: 1,274,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,946 : 586,494 = 586,494 : x
  2. Step 2: Convert to fraction form
    269,946/586,494 = 586,494/x
  3. Step 3: Cross multiply
    269,946x = 586,494 × 586,494
  4. Step 4: Simplify right side
    269,946x = 343,975,212,036
  5. Step 5: Solve for x
    x = 343,975,212,036/269,946
  6. Step 6: Final answer
    x = 1,274,237.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.