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Finding the Third Proportional to 332,526.50 and 486,992.50

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Solution

The third proportional to 332,526.50 and 486,992.50 is: 713,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,526.50 : 486,992.50 = 486,992.50 : x
  2. Step 2: Convert to fraction form
    332,526.50/486,992.50 = 486,992.50/x
  3. Step 3: Cross multiply
    332,526.50x = 486,992.50 × 486,992.50
  4. Step 4: Simplify right side
    332,526.50x = 237,161,695,056.25
  5. Step 5: Solve for x
    x = 237,161,695,056.25/332,526.50
  6. Step 6: Final answer
    x = 713,211.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.