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Finding the Third Proportional to 347,034.38 and 524,925.56

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Solution

The third proportional to 347,034.38 and 524,925.56 is: 794,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,034.38 : 524,925.56 = 524,925.56 : x
  2. Step 2: Convert to fraction form
    347,034.38/524,925.56 = 524,925.56/x
  3. Step 3: Cross multiply
    347,034.38x = 524,925.56 × 524,925.56
  4. Step 4: Simplify right side
    347,034.38x = 275,546,846,165.94
  5. Step 5: Solve for x
    x = 275,546,846,165.94/347,034.38
  6. Step 6: Final answer
    x = 794,004.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.