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Finding the Third Proportional to 344,331 and 534,458.25

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Solution

The third proportional to 344,331 and 534,458.25 is: 829,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,331 : 534,458.25 = 534,458.25 : x
  2. Step 2: Convert to fraction form
    344,331/534,458.25 = 534,458.25/x
  3. Step 3: Cross multiply
    344,331x = 534,458.25 × 534,458.25
  4. Step 4: Simplify right side
    344,331x = 285,645,620,993.06
  5. Step 5: Solve for x
    x = 285,645,620,993.06/344,331
  6. Step 6: Final answer
    x = 829,566.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.