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Finding the Third Proportional to 250,705.13 and 536,402.25

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Solution

The third proportional to 250,705.13 and 536,402.25 is: 1,147,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,705.13 : 536,402.25 = 536,402.25 : x
  2. Step 2: Convert to fraction form
    250,705.13/536,402.25 = 536,402.25/x
  3. Step 3: Cross multiply
    250,705.13x = 536,402.25 × 536,402.25
  4. Step 4: Simplify right side
    250,705.13x = 287,727,373,805.06
  5. Step 5: Solve for x
    x = 287,727,373,805.06/250,705.13
  6. Step 6: Final answer
    x = 1,147,672.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.