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Finding the Third Proportional to 214,395 and 452,575.50

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Solution

The third proportional to 214,395 and 452,575.50 is: 955,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,395 : 452,575.50 = 452,575.50 : x
  2. Step 2: Convert to fraction form
    214,395/452,575.50 = 452,575.50/x
  3. Step 3: Cross multiply
    214,395x = 452,575.50 × 452,575.50
  4. Step 4: Simplify right side
    214,395x = 204,824,583,200.25
  5. Step 5: Solve for x
    x = 204,824,583,200.25/214,395
  6. Step 6: Final answer
    x = 955,360.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.