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Finding the Third Proportional to 324,886 and 523,423

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Solution

The third proportional to 324,886 and 523,423 is: 843,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,886 : 523,423 = 523,423 : x
  2. Step 2: Convert to fraction form
    324,886/523,423 = 523,423/x
  3. Step 3: Cross multiply
    324,886x = 523,423 × 523,423
  4. Step 4: Simplify right side
    324,886x = 273,971,636,929
  5. Step 5: Solve for x
    x = 273,971,636,929/324,886
  6. Step 6: Final answer
    x = 843,285.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.