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Finding the Third Proportional to 412,933.50 and 611,724

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Solution

The third proportional to 412,933.50 and 611,724 is: 906,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,933.50 : 611,724 = 611,724 : x
  2. Step 2: Convert to fraction form
    412,933.50/611,724 = 611,724/x
  3. Step 3: Cross multiply
    412,933.50x = 611,724 × 611,724
  4. Step 4: Simplify right side
    412,933.50x = 374,206,252,176
  5. Step 5: Solve for x
    x = 374,206,252,176/412,933.50
  6. Step 6: Final answer
    x = 906,214.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.