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Finding the Third Proportional to 235,757 and 482,409

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Solution

The third proportional to 235,757 and 482,409 is: 987,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,757 : 482,409 = 482,409 : x
  2. Step 2: Convert to fraction form
    235,757/482,409 = 482,409/x
  3. Step 3: Cross multiply
    235,757x = 482,409 × 482,409
  4. Step 4: Simplify right side
    235,757x = 232,718,443,281
  5. Step 5: Solve for x
    x = 232,718,443,281/235,757
  6. Step 6: Final answer
    x = 987,111.49

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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.