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Finding the Third Proportional to 302,506.50 and 664,063.50

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Solution

The third proportional to 302,506.50 and 664,063.50 is: 1,457,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,506.50 : 664,063.50 = 664,063.50 : x
  2. Step 2: Convert to fraction form
    302,506.50/664,063.50 = 664,063.50/x
  3. Step 3: Cross multiply
    302,506.50x = 664,063.50 × 664,063.50
  4. Step 4: Simplify right side
    302,506.50x = 440,980,332,032.25
  5. Step 5: Solve for x
    x = 440,980,332,032.25/302,506.50
  6. Step 6: Final answer
    x = 1,457,754.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.