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Finding the Third Proportional to 326,960 and 499,944

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Solution

The third proportional to 326,960 and 499,944 is: 764,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,960 : 499,944 = 499,944 : x
  2. Step 2: Convert to fraction form
    326,960/499,944 = 499,944/x
  3. Step 3: Cross multiply
    326,960x = 499,944 × 499,944
  4. Step 4: Simplify right side
    326,960x = 249,944,003,136
  5. Step 5: Solve for x
    x = 249,944,003,136/326,960
  6. Step 6: Final answer
    x = 764,448.26

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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.