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Finding the Third Proportional to 772,078.50 and 1,113,817.50

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Solution

The third proportional to 772,078.50 and 1,113,817.50 is: 1,606,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,078.50 : 1,113,817.50 = 1,113,817.50 : x
  2. Step 2: Convert to fraction form
    772,078.50/1,113,817.50 = 1,113,817.50/x
  3. Step 3: Cross multiply
    772,078.50x = 1,113,817.50 × 1,113,817.50
  4. Step 4: Simplify right side
    772,078.50x = 1,240,589,423,306.25
  5. Step 5: Solve for x
    x = 1,240,589,423,306.25/772,078.50
  6. Step 6: Final answer
    x = 1,606,817.73

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.