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Finding the Third Proportional to 332,511 and 502,258.50

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Solution

The third proportional to 332,511 and 502,258.50 is: 758,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,511 : 502,258.50 = 502,258.50 : x
  2. Step 2: Convert to fraction form
    332,511/502,258.50 = 502,258.50/x
  3. Step 3: Cross multiply
    332,511x = 502,258.50 × 502,258.50
  4. Step 4: Simplify right side
    332,511x = 252,263,600,822.25
  5. Step 5: Solve for x
    x = 252,263,600,822.25/332,511
  6. Step 6: Final answer
    x = 758,662.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.