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Finding the Third Proportional to 412,501.50 and 656,379

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Solution

The third proportional to 412,501.50 and 656,379 is: 1,044,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,501.50 : 656,379 = 656,379 : x
  2. Step 2: Convert to fraction form
    412,501.50/656,379 = 656,379/x
  3. Step 3: Cross multiply
    412,501.50x = 656,379 × 656,379
  4. Step 4: Simplify right side
    412,501.50x = 430,833,391,641
  5. Step 5: Solve for x
    x = 430,833,391,641/412,501.50
  6. Step 6: Final answer
    x = 1,044,440.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.