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Finding the Third Proportional to 326,922 and 499,896

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Solution

The third proportional to 326,922 and 499,896 is: 764,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,922 : 499,896 = 499,896 : x
  2. Step 2: Convert to fraction form
    326,922/499,896 = 499,896/x
  3. Step 3: Cross multiply
    326,922x = 499,896 × 499,896
  4. Step 4: Simplify right side
    326,922x = 249,896,010,816
  5. Step 5: Solve for x
    x = 249,896,010,816/326,922
  6. Step 6: Final answer
    x = 764,390.32

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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.