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Finding the Third Proportional to 320,461.31 and 700,471.13

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Solution

The third proportional to 320,461.31 and 700,471.13 is: 1,531,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,461.31 : 700,471.13 = 700,471.13 : x
  2. Step 2: Convert to fraction form
    320,461.31/700,471.13 = 700,471.13/x
  3. Step 3: Cross multiply
    320,461.31x = 700,471.13 × 700,471.13
  4. Step 4: Simplify right side
    320,461.31x = 490,659,796,958.77
  5. Step 5: Solve for x
    x = 490,659,796,958.77/320,461.31
  6. Step 6: Final answer
    x = 1,531,104.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.