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Finding the Third Proportional to 324,456 and 500,292

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Solution

The third proportional to 324,456 and 500,292 is: 771,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,456 : 500,292 = 500,292 : x
  2. Step 2: Convert to fraction form
    324,456/500,292 = 500,292/x
  3. Step 3: Cross multiply
    324,456x = 500,292 × 500,292
  4. Step 4: Simplify right side
    324,456x = 250,292,085,264
  5. Step 5: Solve for x
    x = 250,292,085,264/324,456
  6. Step 6: Final answer
    x = 771,420.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.