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Finding the Third Proportional to 363,820.50 and 558,448.50

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Solution

The third proportional to 363,820.50 and 558,448.50 is: 857,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,820.50 : 558,448.50 = 558,448.50 : x
  2. Step 2: Convert to fraction form
    363,820.50/558,448.50 = 558,448.50/x
  3. Step 3: Cross multiply
    363,820.50x = 558,448.50 × 558,448.50
  4. Step 4: Simplify right side
    363,820.50x = 311,864,727,152.25
  5. Step 5: Solve for x
    x = 311,864,727,152.25/363,820.50
  6. Step 6: Final answer
    x = 857,193.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.