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Finding the Third Proportional to 441,642.38 and 700,477.88

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Solution

The third proportional to 441,642.38 and 700,477.88 is: 1,111,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,642.38 : 700,477.88 = 700,477.88 : x
  2. Step 2: Convert to fraction form
    441,642.38/700,477.88 = 700,477.88/x
  3. Step 3: Cross multiply
    441,642.38x = 700,477.88 × 700,477.88
  4. Step 4: Simplify right side
    441,642.38x = 490,669,253,364.52
  5. Step 5: Solve for x
    x = 490,669,253,364.52/441,642.38
  6. Step 6: Final answer
    x = 1,111,010.36

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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.