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Finding the Third Proportional to 326,159 and 497,674

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Solution

The third proportional to 326,159 and 497,674 is: 759,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,159 : 497,674 = 497,674 : x
  2. Step 2: Convert to fraction form
    326,159/497,674 = 497,674/x
  3. Step 3: Cross multiply
    326,159x = 497,674 × 497,674
  4. Step 4: Simplify right side
    326,159x = 247,679,410,276
  5. Step 5: Solve for x
    x = 247,679,410,276/326,159
  6. Step 6: Final answer
    x = 759,382.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.