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Finding the Third Proportional to 281,284.31 and 446,834.81

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Solution

The third proportional to 281,284.31 and 446,834.81 is: 709,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,284.31 : 446,834.81 = 446,834.81 : x
  2. Step 2: Convert to fraction form
    281,284.31/446,834.81 = 446,834.81/x
  3. Step 3: Cross multiply
    281,284.31x = 446,834.81 × 446,834.81
  4. Step 4: Simplify right side
    281,284.31x = 199,661,349,661.91
  5. Step 5: Solve for x
    x = 199,661,349,661.91/281,284.31
  6. Step 6: Final answer
    x = 709,820.42

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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.