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Finding the Third Proportional to 692,478.50 and 1,063,731.63

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Solution

The third proportional to 692,478.50 and 1,063,731.63 is: 1,634,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,478.50 : 1,063,731.63 = 1,063,731.63 : x
  2. Step 2: Convert to fraction form
    692,478.50/1,063,731.63 = 1,063,731.63/x
  3. Step 3: Cross multiply
    692,478.50x = 1,063,731.63 × 1,063,731.63
  4. Step 4: Simplify right side
    692,478.50x = 1,131,524,970,025.14
  5. Step 5: Solve for x
    x = 1,131,524,970,025.14/692,478.50
  6. Step 6: Final answer
    x = 1,634,021.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.