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Finding the Third Proportional to 259,371.75 and 392,677

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Solution

The third proportional to 259,371.75 and 392,677 is: 594,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,371.75 : 392,677 = 392,677 : x
  2. Step 2: Convert to fraction form
    259,371.75/392,677 = 392,677/x
  3. Step 3: Cross multiply
    259,371.75x = 392,677 × 392,677
  4. Step 4: Simplify right side
    259,371.75x = 154,195,226,329
  5. Step 5: Solve for x
    x = 154,195,226,329/259,371.75
  6. Step 6: Final answer
    x = 594,495.07

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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.