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Finding the Third Proportional to 326,926 and 508,856

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Solution

The third proportional to 326,926 and 508,856 is: 792,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,926 : 508,856 = 508,856 : x
  2. Step 2: Convert to fraction form
    326,926/508,856 = 508,856/x
  3. Step 3: Cross multiply
    326,926x = 508,856 × 508,856
  4. Step 4: Simplify right side
    326,926x = 258,934,428,736
  5. Step 5: Solve for x
    x = 258,934,428,736/326,926
  6. Step 6: Final answer
    x = 792,027.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.