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Finding the Third Proportional to 235,754.50 and 482,403.50

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Solution

The third proportional to 235,754.50 and 482,403.50 is: 987,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,754.50 : 482,403.50 = 482,403.50 : x
  2. Step 2: Convert to fraction form
    235,754.50/482,403.50 = 482,403.50/x
  3. Step 3: Cross multiply
    235,754.50x = 482,403.50 × 482,403.50
  4. Step 4: Simplify right side
    235,754.50x = 232,713,136,812.25
  5. Step 5: Solve for x
    x = 232,713,136,812.25/235,754.50
  6. Step 6: Final answer
    x = 987,099.45

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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.