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Finding the Third Proportional to 301,213.69 and 652,022.16

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Solution

The third proportional to 301,213.69 and 652,022.16 is: 1,411,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,213.69 : 652,022.16 = 652,022.16 : x
  2. Step 2: Convert to fraction form
    301,213.69/652,022.16 = 652,022.16/x
  3. Step 3: Cross multiply
    301,213.69x = 652,022.16 × 652,022.16
  4. Step 4: Simplify right side
    301,213.69x = 425,132,892,240.90
  5. Step 5: Solve for x
    x = 425,132,892,240.90/301,213.69
  6. Step 6: Final answer
    x = 1,411,399.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.