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Finding the Third Proportional to 370,162.50 and 557,979.75

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Solution

The third proportional to 370,162.50 and 557,979.75 is: 841,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,162.50 : 557,979.75 = 557,979.75 : x
  2. Step 2: Convert to fraction form
    370,162.50/557,979.75 = 557,979.75/x
  3. Step 3: Cross multiply
    370,162.50x = 557,979.75 × 557,979.75
  4. Step 4: Simplify right side
    370,162.50x = 311,341,401,410.06
  5. Step 5: Solve for x
    x = 311,341,401,410.06/370,162.50
  6. Step 6: Final answer
    x = 841,093.85

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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.