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Finding the Third Proportional to 424,740 and 642,550.50

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Solution

The third proportional to 424,740 and 642,550.50 is: 972,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,740 : 642,550.50 = 642,550.50 : x
  2. Step 2: Convert to fraction form
    424,740/642,550.50 = 642,550.50/x
  3. Step 3: Cross multiply
    424,740x = 642,550.50 × 642,550.50
  4. Step 4: Simplify right side
    424,740x = 412,871,145,050.25
  5. Step 5: Solve for x
    x = 412,871,145,050.25/424,740
  6. Step 6: Final answer
    x = 972,056.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.