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Finding the Third Proportional to 331,518 and 509,862

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Solution

The third proportional to 331,518 and 509,862 is: 784,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,518 : 509,862 = 509,862 : x
  2. Step 2: Convert to fraction form
    331,518/509,862 = 509,862/x
  3. Step 3: Cross multiply
    331,518x = 509,862 × 509,862
  4. Step 4: Simplify right side
    331,518x = 259,959,259,044
  5. Step 5: Solve for x
    x = 259,959,259,044/331,518
  6. Step 6: Final answer
    x = 784,148.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.