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Finding the Third Proportional to 326,946 and 499,923

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Solution

The third proportional to 326,946 and 499,923 is: 764,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,946 : 499,923 = 499,923 : x
  2. Step 2: Convert to fraction form
    326,946/499,923 = 499,923/x
  3. Step 3: Cross multiply
    326,946x = 499,923 × 499,923
  4. Step 4: Simplify right side
    326,946x = 249,923,005,929
  5. Step 5: Solve for x
    x = 249,923,005,929/326,946
  6. Step 6: Final answer
    x = 764,416.77

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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.