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Finding the Third Proportional to 375,055.31 and 810,082.69

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Solution

The third proportional to 375,055.31 and 810,082.69 is: 1,749,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,055.31 : 810,082.69 = 810,082.69 : x
  2. Step 2: Convert to fraction form
    375,055.31/810,082.69 = 810,082.69/x
  3. Step 3: Cross multiply
    375,055.31x = 810,082.69 × 810,082.69
  4. Step 4: Simplify right side
    375,055.31x = 656,233,960,587.22
  5. Step 5: Solve for x
    x = 656,233,960,587.22/375,055.31
  6. Step 6: Final answer
    x = 1,749,699.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.