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Finding the Third Proportional to 301,338 and 455,890.50

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Solution

The third proportional to 301,338 and 455,890.50 is: 689,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,338 : 455,890.50 = 455,890.50 : x
  2. Step 2: Convert to fraction form
    301,338/455,890.50 = 455,890.50/x
  3. Step 3: Cross multiply
    301,338x = 455,890.50 × 455,890.50
  4. Step 4: Simplify right side
    301,338x = 207,836,147,990.25
  5. Step 5: Solve for x
    x = 207,836,147,990.25/301,338
  6. Step 6: Final answer
    x = 689,711.05

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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.