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Finding the Third Proportional to 633,411 and 950,950.50

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Solution

The third proportional to 633,411 and 950,950.50 is: 1,427,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,411 : 950,950.50 = 950,950.50 : x
  2. Step 2: Convert to fraction form
    633,411/950,950.50 = 950,950.50/x
  3. Step 3: Cross multiply
    633,411x = 950,950.50 × 950,950.50
  4. Step 4: Simplify right side
    633,411x = 904,306,853,450.25
  5. Step 5: Solve for x
    x = 904,306,853,450.25/633,411
  6. Step 6: Final answer
    x = 1,427,677.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.