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Finding the Third Proportional to 332,301 and 728,935.50

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Solution

The third proportional to 332,301 and 728,935.50 is: 1,598,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,301 : 728,935.50 = 728,935.50 : x
  2. Step 2: Convert to fraction form
    332,301/728,935.50 = 728,935.50/x
  3. Step 3: Cross multiply
    332,301x = 728,935.50 × 728,935.50
  4. Step 4: Simplify right side
    332,301x = 531,346,963,160.25
  5. Step 5: Solve for x
    x = 531,346,963,160.25/332,301
  6. Step 6: Final answer
    x = 1,598,992.97

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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.