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Finding the Third Proportional to 324,656 and 499,295

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Solution

The third proportional to 324,656 and 499,295 is: 767,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,656 : 499,295 = 499,295 : x
  2. Step 2: Convert to fraction form
    324,656/499,295 = 499,295/x
  3. Step 3: Cross multiply
    324,656x = 499,295 × 499,295
  4. Step 4: Simplify right side
    324,656x = 249,295,497,025
  5. Step 5: Solve for x
    x = 249,295,497,025/324,656
  6. Step 6: Final answer
    x = 767,875.83

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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.