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Finding the Third Proportional to 273,437.25 and 427,965.75

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Solution

The third proportional to 273,437.25 and 427,965.75 is: 669,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,437.25 : 427,965.75 = 427,965.75 : x
  2. Step 2: Convert to fraction form
    273,437.25/427,965.75 = 427,965.75/x
  3. Step 3: Cross multiply
    273,437.25x = 427,965.75 × 427,965.75
  4. Step 4: Simplify right side
    273,437.25x = 183,154,683,173.06
  5. Step 5: Solve for x
    x = 183,154,683,173.06/273,437.25
  6. Step 6: Final answer
    x = 669,823.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.