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Finding the Third Proportional to 434,002.50 and 671,942.25

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Solution

The third proportional to 434,002.50 and 671,942.25 is: 1,040,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,002.50 : 671,942.25 = 671,942.25 : x
  2. Step 2: Convert to fraction form
    434,002.50/671,942.25 = 671,942.25/x
  3. Step 3: Cross multiply
    434,002.50x = 671,942.25 × 671,942.25
  4. Step 4: Simplify right side
    434,002.50x = 451,506,387,335.06
  5. Step 5: Solve for x
    x = 451,506,387,335.06/434,002.50
  6. Step 6: Final answer
    x = 1,040,331.31

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