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Finding the Third Proportional to 301,696.13 and 447,322.69

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Solution

The third proportional to 301,696.13 and 447,322.69 is: 663,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,696.13 : 447,322.69 = 447,322.69 : x
  2. Step 2: Convert to fraction form
    301,696.13/447,322.69 = 447,322.69/x
  3. Step 3: Cross multiply
    301,696.13x = 447,322.69 × 447,322.69
  4. Step 4: Simplify right side
    301,696.13x = 200,097,586,752.22
  5. Step 5: Solve for x
    x = 200,097,586,752.22/301,696.13
  6. Step 6: Final answer
    x = 663,242.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.