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Finding the Third Proportional to 419,595 and 632,875.50

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Solution

The third proportional to 419,595 and 632,875.50 is: 954,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,595 : 632,875.50 = 632,875.50 : x
  2. Step 2: Convert to fraction form
    419,595/632,875.50 = 632,875.50/x
  3. Step 3: Cross multiply
    419,595x = 632,875.50 × 632,875.50
  4. Step 4: Simplify right side
    419,595x = 400,531,398,500.25
  5. Step 5: Solve for x
    x = 400,531,398,500.25/419,595
  6. Step 6: Final answer
    x = 954,566.66

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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.