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Finding the Third Proportional to 446,583.38 and 680,329.13

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Solution

The third proportional to 446,583.38 and 680,329.13 is: 1,036,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,583.38 : 680,329.13 = 680,329.13 : x
  2. Step 2: Convert to fraction form
    446,583.38/680,329.13 = 680,329.13/x
  3. Step 3: Cross multiply
    446,583.38x = 680,329.13 × 680,329.13
  4. Step 4: Simplify right side
    446,583.38x = 462,847,718,323.27
  5. Step 5: Solve for x
    x = 462,847,718,323.27/446,583.38
  6. Step 6: Final answer
    x = 1,036,419.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.