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Finding the Third Proportional to 332,963.25 and 719,130

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Solution

The third proportional to 332,963.25 and 719,130 is: 1,553,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,963.25 : 719,130 = 719,130 : x
  2. Step 2: Convert to fraction form
    332,963.25/719,130 = 719,130/x
  3. Step 3: Cross multiply
    332,963.25x = 719,130 × 719,130
  4. Step 4: Simplify right side
    332,963.25x = 517,147,956,900
  5. Step 5: Solve for x
    x = 517,147,956,900/332,963.25
  6. Step 6: Final answer
    x = 1,553,168.28

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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.