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Finding the Third Proportional to 410,135.63 and 642,084.19

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Solution

The third proportional to 410,135.63 and 642,084.19 is: 1,005,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,135.63 : 642,084.19 = 642,084.19 : x
  2. Step 2: Convert to fraction form
    410,135.63/642,084.19 = 642,084.19/x
  3. Step 3: Cross multiply
    410,135.63x = 642,084.19 × 642,084.19
  4. Step 4: Simplify right side
    410,135.63x = 412,272,103,837.54
  5. Step 5: Solve for x
    x = 412,272,103,837.54/410,135.63
  6. Step 6: Final answer
    x = 1,005,209.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.