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Finding the Third Proportional to 214,909.88 and 461,534.63

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Solution

The third proportional to 214,909.88 and 461,534.63 is: 991,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,909.88 : 461,534.63 = 461,534.63 : x
  2. Step 2: Convert to fraction form
    214,909.88/461,534.63 = 461,534.63/x
  3. Step 3: Cross multiply
    214,909.88x = 461,534.63 × 461,534.63
  4. Step 4: Simplify right side
    214,909.88x = 213,014,210,073.89
  5. Step 5: Solve for x
    x = 213,014,210,073.89/214,909.88
  6. Step 6: Final answer
    x = 991,179.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.