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Finding the Third Proportional to 326,966 and 499,953

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Solution

The third proportional to 326,966 and 499,953 is: 764,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,966 : 499,953 = 499,953 : x
  2. Step 2: Convert to fraction form
    326,966/499,953 = 499,953/x
  3. Step 3: Cross multiply
    326,966x = 499,953 × 499,953
  4. Step 4: Simplify right side
    326,966x = 249,953,002,209
  5. Step 5: Solve for x
    x = 249,953,002,209/326,966
  6. Step 6: Final answer
    x = 764,461.76

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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.