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Finding the Third Proportional to 332,964 and 719,131

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Solution

The third proportional to 332,964 and 719,131 is: 1,553,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,964 : 719,131 = 719,131 : x
  2. Step 2: Convert to fraction form
    332,964/719,131 = 719,131/x
  3. Step 3: Cross multiply
    332,964x = 719,131 × 719,131
  4. Step 4: Simplify right side
    332,964x = 517,149,395,161
  5. Step 5: Solve for x
    x = 517,149,395,161/332,964
  6. Step 6: Final answer
    x = 1,553,169.10

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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.