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Finding the Third Proportional to 238,599.42 and 514,560.09

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Solution

The third proportional to 238,599.42 and 514,560.09 is: 1,109,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,599.42 : 514,560.09 = 514,560.09 : x
  2. Step 2: Convert to fraction form
    238,599.42/514,560.09 = 514,560.09/x
  3. Step 3: Cross multiply
    238,599.42x = 514,560.09 × 514,560.09
  4. Step 4: Simplify right side
    238,599.42x = 264,772,090,080.01
  5. Step 5: Solve for x
    x = 264,772,090,080.01/238,599.42
  6. Step 6: Final answer
    x = 1,109,692.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.