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Finding the Third Proportional to 235,006.50 and 496,801.50

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Solution

The third proportional to 235,006.50 and 496,801.50 is: 1,050,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,006.50 : 496,801.50 = 496,801.50 : x
  2. Step 2: Convert to fraction form
    235,006.50/496,801.50 = 496,801.50/x
  3. Step 3: Cross multiply
    235,006.50x = 496,801.50 × 496,801.50
  4. Step 4: Simplify right side
    235,006.50x = 246,811,730,402.25
  5. Step 5: Solve for x
    x = 246,811,730,402.25/235,006.50
  6. Step 6: Final answer
    x = 1,050,233.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.