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Finding the Third Proportional to 343,897.31 and 809,174.81

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Solution

The third proportional to 343,897.31 and 809,174.81 is: 1,903,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,897.31 : 809,174.81 = 809,174.81 : x
  2. Step 2: Convert to fraction form
    343,897.31/809,174.81 = 809,174.81/x
  3. Step 3: Cross multiply
    343,897.31x = 809,174.81 × 809,174.81
  4. Step 4: Simplify right side
    343,897.31x = 654,763,877,184.41
  5. Step 5: Solve for x
    x = 654,763,877,184.41/343,897.31
  6. Step 6: Final answer
    x = 1,903,951.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.