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Finding the Third Proportional to 441,605.25 and 700,398.56

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Solution

The third proportional to 441,605.25 and 700,398.56 is: 1,110,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,605.25 : 700,398.56 = 700,398.56 : x
  2. Step 2: Convert to fraction form
    441,605.25/700,398.56 = 700,398.56/x
  3. Step 3: Cross multiply
    441,605.25x = 700,398.56 × 700,398.56
  4. Step 4: Simplify right side
    441,605.25x = 490,558,146,352.07
  5. Step 5: Solve for x
    x = 490,558,146,352.07/441,605.25
  6. Step 6: Final answer
    x = 1,110,852.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.