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Finding the Third Proportional to 775,325.67 and 1,003,064.13

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Solution

The third proportional to 775,325.67 and 1,003,064.13 is: 1,297,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,325.67 : 1,003,064.13 = 1,003,064.13 : x
  2. Step 2: Convert to fraction form
    775,325.67/1,003,064.13 = 1,003,064.13/x
  3. Step 3: Cross multiply
    775,325.67x = 1,003,064.13 × 1,003,064.13
  4. Step 4: Simplify right side
    775,325.67x = 1,006,137,654,534.89
  5. Step 5: Solve for x
    x = 1,006,137,654,534.89/775,325.67
  6. Step 6: Final answer
    x = 1,297,696.81

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.