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Finding the Third Proportional to 332,314 and 728,964

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Solution

The third proportional to 332,314 and 728,964 is: 1,599,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,314 : 728,964 = 728,964 : x
  2. Step 2: Convert to fraction form
    332,314/728,964 = 728,964/x
  3. Step 3: Cross multiply
    332,314x = 728,964 × 728,964
  4. Step 4: Simplify right side
    332,314x = 531,388,513,296
  5. Step 5: Solve for x
    x = 531,388,513,296/332,314
  6. Step 6: Final answer
    x = 1,599,055.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.