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Finding the Third Proportional to 261,492.75 and 566,988.75

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Solution

The third proportional to 261,492.75 and 566,988.75 is: 1,229,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,492.75 : 566,988.75 = 566,988.75 : x
  2. Step 2: Convert to fraction form
    261,492.75/566,988.75 = 566,988.75/x
  3. Step 3: Cross multiply
    261,492.75x = 566,988.75 × 566,988.75
  4. Step 4: Simplify right side
    261,492.75x = 321,476,242,626.56
  5. Step 5: Solve for x
    x = 321,476,242,626.56/261,492.75
  6. Step 6: Final answer
    x = 1,229,388.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.