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Finding the Third Proportional to 283,496 and 426,526

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Solution

The third proportional to 283,496 and 426,526 is: 641,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,496 : 426,526 = 426,526 : x
  2. Step 2: Convert to fraction form
    283,496/426,526 = 426,526/x
  3. Step 3: Cross multiply
    283,496x = 426,526 × 426,526
  4. Step 4: Simplify right side
    283,496x = 181,924,428,676
  5. Step 5: Solve for x
    x = 181,924,428,676/283,496
  6. Step 6: Final answer
    x = 641,717.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.