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Finding the Third Proportional to 369,543 and 514,866.75

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Solution

The third proportional to 369,543 and 514,866.75 is: 717,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,543 : 514,866.75 = 514,866.75 : x
  2. Step 2: Convert to fraction form
    369,543/514,866.75 = 514,866.75/x
  3. Step 3: Cross multiply
    369,543x = 514,866.75 × 514,866.75
  4. Step 4: Simplify right side
    369,543x = 265,087,770,255.56
  5. Step 5: Solve for x
    x = 265,087,770,255.56/369,543
  6. Step 6: Final answer
    x = 717,339.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.