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Finding the Third Proportional to 272,907 and 425,965.50

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Solution

The third proportional to 272,907 and 425,965.50 is: 664,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,907 : 425,965.50 = 425,965.50 : x
  2. Step 2: Convert to fraction form
    272,907/425,965.50 = 425,965.50/x
  3. Step 3: Cross multiply
    272,907x = 425,965.50 × 425,965.50
  4. Step 4: Simplify right side
    272,907x = 181,446,607,190.25
  5. Step 5: Solve for x
    x = 181,446,607,190.25/272,907
  6. Step 6: Final answer
    x = 664,866.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.