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Finding the Third Proportional to 331,716 and 499,966

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Solution

The third proportional to 331,716 and 499,966 is: 753,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,716 : 499,966 = 499,966 : x
  2. Step 2: Convert to fraction form
    331,716/499,966 = 499,966/x
  3. Step 3: Cross multiply
    331,716x = 499,966 × 499,966
  4. Step 4: Simplify right side
    331,716x = 249,966,001,156
  5. Step 5: Solve for x
    x = 249,966,001,156/331,716
  6. Step 6: Final answer
    x = 753,554.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.