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Finding the Third Proportional to 233,193.50 and 494,411.50

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Solution

The third proportional to 233,193.50 and 494,411.50 is: 1,048,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,193.50 : 494,411.50 = 494,411.50 : x
  2. Step 2: Convert to fraction form
    233,193.50/494,411.50 = 494,411.50/x
  3. Step 3: Cross multiply
    233,193.50x = 494,411.50 × 494,411.50
  4. Step 4: Simplify right side
    233,193.50x = 244,442,731,332.25
  5. Step 5: Solve for x
    x = 244,442,731,332.25/233,193.50
  6. Step 6: Final answer
    x = 1,048,239.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.