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Finding the Third Proportional to 250,819.50 and 535,659

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Solution

The third proportional to 250,819.50 and 535,659 is: 1,143,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,819.50 : 535,659 = 535,659 : x
  2. Step 2: Convert to fraction form
    250,819.50/535,659 = 535,659/x
  3. Step 3: Cross multiply
    250,819.50x = 535,659 × 535,659
  4. Step 4: Simplify right side
    250,819.50x = 286,930,564,281
  5. Step 5: Solve for x
    x = 286,930,564,281/250,819.50
  6. Step 6: Final answer
    x = 1,143,972.32

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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.