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Finding the Third Proportional to 324,654 and 499,293

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Solution

The third proportional to 324,654 and 499,293 is: 767,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,654 : 499,293 = 499,293 : x
  2. Step 2: Convert to fraction form
    324,654/499,293 = 499,293/x
  3. Step 3: Cross multiply
    324,654x = 499,293 × 499,293
  4. Step 4: Simplify right side
    324,654x = 249,293,499,849
  5. Step 5: Solve for x
    x = 249,293,499,849/324,654
  6. Step 6: Final answer
    x = 767,874.41

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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.