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Finding the Third Proportional to 344,314.13 and 484,012.13

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Solution

The third proportional to 344,314.13 and 484,012.13 is: 680,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314.13 : 484,012.13 = 484,012.13 : x
  2. Step 2: Convert to fraction form
    344,314.13/484,012.13 = 484,012.13/x
  3. Step 3: Cross multiply
    344,314.13x = 484,012.13 × 484,012.13
  4. Step 4: Simplify right side
    344,314.13x = 234,267,737,147.02
  5. Step 5: Solve for x
    x = 234,267,737,147.02/344,314.13
  6. Step 6: Final answer
    x = 680,389.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.