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Finding the Third Proportional to 275,527.50 and 425,567.44

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Solution

The third proportional to 275,527.50 and 425,567.44 is: 657,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,527.50 : 425,567.44 = 425,567.44 : x
  2. Step 2: Convert to fraction form
    275,527.50/425,567.44 = 425,567.44/x
  3. Step 3: Cross multiply
    275,527.50x = 425,567.44 × 425,567.44
  4. Step 4: Simplify right side
    275,527.50x = 181,107,643,860.32
  5. Step 5: Solve for x
    x = 181,107,643,860.32/275,527.50
  6. Step 6: Final answer
    x = 657,312.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.