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Finding the Third Proportional to 519,166.50 and 759,039.75

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Solution

The third proportional to 519,166.50 and 759,039.75 is: 1,109,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,166.50 : 759,039.75 = 759,039.75 : x
  2. Step 2: Convert to fraction form
    519,166.50/759,039.75 = 759,039.75/x
  3. Step 3: Cross multiply
    519,166.50x = 759,039.75 × 759,039.75
  4. Step 4: Simplify right side
    519,166.50x = 576,141,342,080.06
  5. Step 5: Solve for x
    x = 576,141,342,080.06/519,166.50
  6. Step 6: Final answer
    x = 1,109,742.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.