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Finding the Third Proportional to 493,993,615.50 and 658,568,677.50

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Solution

The third proportional to 493,993,615.50 and 658,568,677.50 is: 877,972,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,993,615.50 : 658,568,677.50 = 658,568,677.50 : x
  2. Step 2: Convert to fraction form
    493,993,615.50/658,568,677.50 = 658,568,677.50/x
  3. Step 3: Cross multiply
    493,993,615.50x = 658,568,677.50 × 658,568,677.50
  4. Step 4: Simplify right side
    493,993,615.50x = 433,712,702,984,099,008
  5. Step 5: Solve for x
    x = 433,712,702,984,099,008/493,993,615.50
  6. Step 6: Final answer
    x = 877,972,284.21

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.