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Finding the Third Proportional to 730.69 and 1,973.53

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Solution

The third proportional to 730.69 and 1,973.53 is: 5,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,973.53 = 1,973.53 : x
  2. Step 2: Convert to fraction form
    730.69/1,973.53 = 1,973.53/x
  3. Step 3: Cross multiply
    730.69x = 1,973.53 × 1,973.53
  4. Step 4: Simplify right side
    730.69x = 3,894,825.59
  5. Step 5: Solve for x
    x = 3,894,825.59/730.69
  6. Step 6: Final answer
    x = 5,330.36

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.