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Finding the Third Proportional to 235,780 and 482,454

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Solution

The third proportional to 235,780 and 482,454 is: 987,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,780 : 482,454 = 482,454 : x
  2. Step 2: Convert to fraction form
    235,780/482,454 = 482,454/x
  3. Step 3: Cross multiply
    235,780x = 482,454 × 482,454
  4. Step 4: Simplify right side
    235,780x = 232,761,862,116
  5. Step 5: Solve for x
    x = 232,761,862,116/235,780
  6. Step 6: Final answer
    x = 987,199.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.