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Finding the Third Proportional to 369,546.75 and 555,967.50

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Solution

The third proportional to 369,546.75 and 555,967.50 is: 836,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,546.75 : 555,967.50 = 555,967.50 : x
  2. Step 2: Convert to fraction form
    369,546.75/555,967.50 = 555,967.50/x
  3. Step 3: Cross multiply
    369,546.75x = 555,967.50 × 555,967.50
  4. Step 4: Simplify right side
    369,546.75x = 309,099,861,056.25
  5. Step 5: Solve for x
    x = 309,099,861,056.25/369,546.75
  6. Step 6: Final answer
    x = 836,429.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.