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Finding the Third Proportional to 347,029.31 and 803,297.25

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Solution

The third proportional to 347,029.31 and 803,297.25 is: 1,859,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,029.31 : 803,297.25 = 803,297.25 : x
  2. Step 2: Convert to fraction form
    347,029.31/803,297.25 = 803,297.25/x
  3. Step 3: Cross multiply
    347,029.31x = 803,297.25 × 803,297.25
  4. Step 4: Simplify right side
    347,029.31x = 645,286,471,857.56
  5. Step 5: Solve for x
    x = 645,286,471,857.56/347,029.31
  6. Step 6: Final answer
    x = 1,859,458.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.