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Finding the Third Proportional to 333,016.50 and 502,521

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Solution

The third proportional to 333,016.50 and 502,521 is: 758,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,016.50 : 502,521 = 502,521 : x
  2. Step 2: Convert to fraction form
    333,016.50/502,521 = 502,521/x
  3. Step 3: Cross multiply
    333,016.50x = 502,521 × 502,521
  4. Step 4: Simplify right side
    333,016.50x = 252,527,355,441
  5. Step 5: Solve for x
    x = 252,527,355,441/333,016.50
  6. Step 6: Final answer
    x = 758,302.83

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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.