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Finding the Third Proportional to 289,546 and 417,710

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Solution

The third proportional to 289,546 and 417,710 is: 602,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,546 : 417,710 = 417,710 : x
  2. Step 2: Convert to fraction form
    289,546/417,710 = 417,710/x
  3. Step 3: Cross multiply
    289,546x = 417,710 × 417,710
  4. Step 4: Simplify right side
    289,546x = 174,481,644,100
  5. Step 5: Solve for x
    x = 174,481,644,100/289,546
  6. Step 6: Final answer
    x = 602,604.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.