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Finding the Third Proportional to 334,213.69 and 721,695.94

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Solution

The third proportional to 334,213.69 and 721,695.94 is: 1,558,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,213.69 : 721,695.94 = 721,695.94 : x
  2. Step 2: Convert to fraction form
    334,213.69/721,695.94 = 721,695.94/x
  3. Step 3: Cross multiply
    334,213.69x = 721,695.94 × 721,695.94
  4. Step 4: Simplify right side
    334,213.69x = 520,845,026,204.00
  5. Step 5: Solve for x
    x = 520,845,026,204.00/334,213.69
  6. Step 6: Final answer
    x = 1,558,419.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.