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Finding the Third Proportional to 324,894 and 487,341

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Solution

The third proportional to 324,894 and 487,341 is: 731,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,894 : 487,341 = 487,341 : x
  2. Step 2: Convert to fraction form
    324,894/487,341 = 487,341/x
  3. Step 3: Cross multiply
    324,894x = 487,341 × 487,341
  4. Step 4: Simplify right side
    324,894x = 237,501,250,281
  5. Step 5: Solve for x
    x = 237,501,250,281/324,894
  6. Step 6: Final answer
    x = 731,011.50

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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.