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Finding the Third Proportional to 214,246 and 409,052

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Solution

The third proportional to 214,246 and 409,052 is: 780,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,246 : 409,052 = 409,052 : x
  2. Step 2: Convert to fraction form
    214,246/409,052 = 409,052/x
  3. Step 3: Cross multiply
    214,246x = 409,052 × 409,052
  4. Step 4: Simplify right side
    214,246x = 167,323,538,704
  5. Step 5: Solve for x
    x = 167,323,538,704/214,246
  6. Step 6: Final answer
    x = 780,987.92

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.