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Finding the Third Proportional to 289,883 and 417,526

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Solution

The third proportional to 289,883 and 417,526 is: 601,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,883 : 417,526 = 417,526 : x
  2. Step 2: Convert to fraction form
    289,883/417,526 = 417,526/x
  3. Step 3: Cross multiply
    289,883x = 417,526 × 417,526
  4. Step 4: Simplify right side
    289,883x = 174,327,960,676
  5. Step 5: Solve for x
    x = 174,327,960,676/289,883
  6. Step 6: Final answer
    x = 601,373.52

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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.