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Finding the Third Proportional to 321,756 and 482,012.50

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Solution

The third proportional to 321,756 and 482,012.50 is: 722,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,756 : 482,012.50 = 482,012.50 : x
  2. Step 2: Convert to fraction form
    321,756/482,012.50 = 482,012.50/x
  3. Step 3: Cross multiply
    321,756x = 482,012.50 × 482,012.50
  4. Step 4: Simplify right side
    321,756x = 232,336,050,156.25
  5. Step 5: Solve for x
    x = 232,336,050,156.25/321,756
  6. Step 6: Final answer
    x = 722,087.70

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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.